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Finding the Fourth Proportional to 128,712,004.30, 193,068,006.45 and 128,712,004.30

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Solution

The fourth proportional to 128,712,004.30, 193,068,006.45 and 128,712,004.30 is: 193,068,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,712,004.30 : 193,068,006.45 = 128,712,004.30 : x
  2. Step 2: Convert to fraction form
    128,712,004.30/193,068,006.45 = 128,712,004.30/x
  3. Step 3: Cross multiply
    128,712,004.30x = 193,068,006.45 × 128,712,004.30
  4. Step 4: Simplify right side
    128,712,004.30x = 24,850,170,076,384,824
  5. Step 5: Solve for x
    x = 24,850,170,076,384,824/128,712,004.30
  6. Step 6: Final answer
    x = 193,068,006.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.