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Finding the Fourth Proportional to 258,626.43, 387,946.17 and 71,639.55

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Solution

The fourth proportional to 258,626.43, 387,946.17 and 71,639.55 is: 107,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,626.43 : 387,946.17 = 71,639.55 : x
  2. Step 2: Convert to fraction form
    258,626.43/387,946.17 = 71,639.55/x
  3. Step 3: Cross multiply
    258,626.43x = 387,946.17 × 71,639.55
  4. Step 4: Simplify right side
    258,626.43x = 27,792,289,043.02
  5. Step 5: Solve for x
    x = 27,792,289,043.02/258,626.43
  6. Step 6: Final answer
    x = 107,461.13

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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.