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Finding the Fourth Proportional to 120,488.96, 180,691.75 and 49,391.41

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Solution

The fourth proportional to 120,488.96, 180,691.75 and 49,391.41 is: 74,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,488.96 : 180,691.75 = 49,391.41 : x
  2. Step 2: Convert to fraction form
    120,488.96/180,691.75 = 49,391.41/x
  3. Step 3: Cross multiply
    120,488.96x = 180,691.75 × 49,391.41
  4. Step 4: Simplify right side
    120,488.96x = 8,924,620,307.87
  5. Step 5: Solve for x
    x = 8,924,620,307.87/120,488.96
  6. Step 6: Final answer
    x = 74,070.03

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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.