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Finding the Fourth Proportional to 145,129, 217,683.78 and 39,948.88

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Solution

The fourth proportional to 145,129, 217,683.78 and 39,948.88 is: 59,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,129 : 217,683.78 = 39,948.88 : x
  2. Step 2: Convert to fraction form
    145,129/217,683.78 = 39,948.88/x
  3. Step 3: Cross multiply
    145,129x = 217,683.78 × 39,948.88
  4. Step 4: Simplify right side
    145,129x = 8,696,223,205.17
  5. Step 5: Solve for x
    x = 8,696,223,205.17/145,129
  6. Step 6: Final answer
    x = 59,920.64

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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.