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Finding the Fourth Proportional to 172,113.40, 257,951.04 and 97,275.28

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Solution

The fourth proportional to 172,113.40, 257,951.04 and 97,275.28 is: 145,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,113.40 : 257,951.04 = 97,275.28 : x
  2. Step 2: Convert to fraction form
    172,113.40/257,951.04 = 97,275.28/x
  3. Step 3: Cross multiply
    172,113.40x = 257,951.04 × 97,275.28
  4. Step 4: Simplify right side
    172,113.40x = 25,092,259,642.29
  5. Step 5: Solve for x
    x = 25,092,259,642.29/172,113.40
  6. Step 6: Final answer
    x = 145,789.11

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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.