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Finding the Fourth Proportional to 66,500.60, 99,779.70 and 31,422.20

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Solution

The fourth proportional to 66,500.60, 99,779.70 and 31,422.20 is: 47,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,500.60 : 99,779.70 = 31,422.20 : x
  2. Step 2: Convert to fraction form
    66,500.60/99,779.70 = 31,422.20/x
  3. Step 3: Cross multiply
    66,500.60x = 99,779.70 × 31,422.20
  4. Step 4: Simplify right side
    66,500.60x = 3,135,297,689.34
  5. Step 5: Solve for x
    x = 3,135,297,689.34/66,500.60
  6. Step 6: Final answer
    x = 47,146.91

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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.