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Finding the Fourth Proportional to 83,129.60, 124,670.10 and 29,815.40

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Solution

The fourth proportional to 83,129.60, 124,670.10 and 29,815.40 is: 44,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,129.60 : 124,670.10 = 29,815.40 : x
  2. Step 2: Convert to fraction form
    83,129.60/124,670.10 = 29,815.40/x
  3. Step 3: Cross multiply
    83,129.60x = 124,670.10 × 29,815.40
  4. Step 4: Simplify right side
    83,129.60x = 3,717,088,899.54
  5. Step 5: Solve for x
    x = 3,717,088,899.54/83,129.60
  6. Step 6: Final answer
    x = 44,714.38

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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.