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Finding the Fourth Proportional to 145,083.92, 217,600.80 and 38,468.56

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Solution

The fourth proportional to 145,083.92, 217,600.80 and 38,468.56 is: 57,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,083.92 : 217,600.80 = 38,468.56 : x
  2. Step 2: Convert to fraction form
    145,083.92/217,600.80 = 38,468.56/x
  3. Step 3: Cross multiply
    145,083.92x = 217,600.80 × 38,468.56
  4. Step 4: Simplify right side
    145,083.92x = 8,370,789,430.85
  5. Step 5: Solve for x
    x = 8,370,789,430.85/145,083.92
  6. Step 6: Final answer
    x = 57,696.19

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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.