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Finding the Fourth Proportional to 99,809.60, 149,714.40 and 40,687.70

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Solution

The fourth proportional to 99,809.60, 149,714.40 and 40,687.70 is: 61,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.60 : 149,714.40 = 40,687.70 : x
  2. Step 2: Convert to fraction form
    99,809.60/149,714.40 = 40,687.70/x
  3. Step 3: Cross multiply
    99,809.60x = 149,714.40 × 40,687.70
  4. Step 4: Simplify right side
    99,809.60x = 6,091,534,592.88
  5. Step 5: Solve for x
    x = 6,091,534,592.88/99,809.60
  6. Step 6: Final answer
    x = 61,031.55

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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.