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Finding the Fourth Proportional to 128,006.24, 176,649.12 and 71,420

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Solution

The fourth proportional to 128,006.24, 176,649.12 and 71,420 is: 98,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,006.24 : 176,649.12 = 71,420 : x
  2. Step 2: Convert to fraction form
    128,006.24/176,649.12 = 71,420/x
  3. Step 3: Cross multiply
    128,006.24x = 176,649.12 × 71,420
  4. Step 4: Simplify right side
    128,006.24x = 12,616,280,150.40
  5. Step 5: Solve for x
    x = 12,616,280,150.40/128,006.24
  6. Step 6: Final answer
    x = 98,559.88

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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.