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Finding the Fourth Proportional to 145,073.92, 217,585.80 and 38,458.58

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Solution

The fourth proportional to 145,073.92, 217,585.80 and 38,458.58 is: 57,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,073.92 : 217,585.80 = 38,458.58 : x
  2. Step 2: Convert to fraction form
    145,073.92/217,585.80 = 38,458.58/x
  3. Step 3: Cross multiply
    145,073.92x = 217,585.80 × 38,458.58
  4. Step 4: Simplify right side
    145,073.92x = 8,368,040,896.16
  5. Step 5: Solve for x
    x = 8,368,040,896.16/145,073.92
  6. Step 6: Final answer
    x = 57,681.22

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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.