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Finding the Fourth Proportional to 172,113.90, 257,951.79 and 97,275.78

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Solution

The fourth proportional to 172,113.90, 257,951.79 and 97,275.78 is: 145,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,113.90 : 257,951.79 = 97,275.78 : x
  2. Step 2: Convert to fraction form
    172,113.90/257,951.79 = 97,275.78/x
  3. Step 3: Cross multiply
    172,113.90x = 257,951.79 × 97,275.78
  4. Step 4: Simplify right side
    172,113.90x = 25,092,461,574.65
  5. Step 5: Solve for x
    x = 25,092,461,574.65/172,113.90
  6. Step 6: Final answer
    x = 145,789.86

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1.5x scale

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.