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Finding the Fourth Proportional to 99,841.60, 137,811.92 and 61,612.84

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Solution

The fourth proportional to 99,841.60, 137,811.92 and 61,612.84 is: 85,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,841.60 : 137,811.92 = 61,612.84 : x
  2. Step 2: Convert to fraction form
    99,841.60/137,811.92 = 61,612.84/x
  3. Step 3: Cross multiply
    99,841.60x = 137,811.92 × 61,612.84
  4. Step 4: Simplify right side
    99,841.60x = 8,490,983,777.05
  5. Step 5: Solve for x
    x = 8,490,983,777.05/99,841.60
  6. Step 6: Final answer
    x = 85,044.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.