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Finding the Fourth Proportional to 66,475.60, 99,742.20 and 31,397.20

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Solution

The fourth proportional to 66,475.60, 99,742.20 and 31,397.20 is: 47,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,475.60 : 99,742.20 = 31,397.20 : x
  2. Step 2: Convert to fraction form
    66,475.60/99,742.20 = 31,397.20/x
  3. Step 3: Cross multiply
    66,475.60x = 99,742.20 × 31,397.20
  4. Step 4: Simplify right side
    66,475.60x = 3,131,625,801.84
  5. Step 5: Solve for x
    x = 3,131,625,801.84/66,475.60
  6. Step 6: Final answer
    x = 47,109.40

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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.