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Finding the Fourth Proportional to 120,915.64, 166,854.90 and 75,613.96

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Solution

The fourth proportional to 120,915.64, 166,854.90 and 75,613.96 is: 104,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,915.64 : 166,854.90 = 75,613.96 : x
  2. Step 2: Convert to fraction form
    120,915.64/166,854.90 = 75,613.96/x
  3. Step 3: Cross multiply
    120,915.64x = 166,854.90 × 75,613.96
  4. Step 4: Simplify right side
    120,915.64x = 12,616,559,734.40
  5. Step 5: Solve for x
    x = 12,616,559,734.40/120,915.64
  6. Step 6: Final answer
    x = 104,341.83

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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.