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Finding the Fourth Proportional to 139,930.88, 209,792.64 and 84,513.92

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Solution

The fourth proportional to 139,930.88, 209,792.64 and 84,513.92 is: 126,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,930.88 : 209,792.64 = 84,513.92 : x
  2. Step 2: Convert to fraction form
    139,930.88/209,792.64 = 84,513.92/x
  3. Step 3: Cross multiply
    139,930.88x = 209,792.64 × 84,513.92
  4. Step 4: Simplify right side
    139,930.88x = 17,730,398,393.55
  5. Step 5: Solve for x
    x = 17,730,398,393.55/139,930.88
  6. Step 6: Final answer
    x = 126,708.26

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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.