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Finding the Fourth Proportional to 128,362.28, 177,193.86 and 78,078.76

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Solution

The fourth proportional to 128,362.28, 177,193.86 and 78,078.76 is: 107,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,362.28 : 177,193.86 = 78,078.76 : x
  2. Step 2: Convert to fraction form
    128,362.28/177,193.86 = 78,078.76/x
  3. Step 3: Cross multiply
    128,362.28x = 177,193.86 × 78,078.76
  4. Step 4: Simplify right side
    128,362.28x = 13,835,076,868.41
  5. Step 5: Solve for x
    x = 13,835,076,868.41/128,362.28
  6. Step 6: Final answer
    x = 107,781.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.