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Finding the Fourth Proportional to 145,229.76, 217,753.92 and 70,320.96

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Solution

The fourth proportional to 145,229.76, 217,753.92 and 70,320.96 is: 105,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,229.76 : 217,753.92 = 70,320.96 : x
  2. Step 2: Convert to fraction form
    145,229.76/217,753.92 = 70,320.96/x
  3. Step 3: Cross multiply
    145,229.76x = 217,753.92 × 70,320.96
  4. Step 4: Simplify right side
    145,229.76x = 15,312,664,698.16
  5. Step 5: Solve for x
    x = 15,312,664,698.16/145,229.76
  6. Step 6: Final answer
    x = 105,437.51

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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.