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Finding the Fourth Proportional to 125,929.26, 188,893.67 and 86,366.43

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Solution

The fourth proportional to 125,929.26, 188,893.67 and 86,366.43 is: 129,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,929.26 : 188,893.67 = 86,366.43 : x
  2. Step 2: Convert to fraction form
    125,929.26/188,893.67 = 86,366.43/x
  3. Step 3: Cross multiply
    125,929.26x = 188,893.67 × 86,366.43
  4. Step 4: Simplify right side
    125,929.26x = 16,314,071,495.67
  5. Step 5: Solve for x
    x = 16,314,071,495.67/125,929.26
  6. Step 6: Final answer
    x = 129,549.49

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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.