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Finding the Fourth Proportional to 66,458.60, 99,716.70 and 31,380.20

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Solution

The fourth proportional to 66,458.60, 99,716.70 and 31,380.20 is: 47,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,458.60 : 99,716.70 = 31,380.20 : x
  2. Step 2: Convert to fraction form
    66,458.60/99,716.70 = 31,380.20/x
  3. Step 3: Cross multiply
    66,458.60x = 99,716.70 × 31,380.20
  4. Step 4: Simplify right side
    66,458.60x = 3,129,129,989.34
  5. Step 5: Solve for x
    x = 3,129,129,989.34/66,458.60
  6. Step 6: Final answer
    x = 47,083.90

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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.