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Finding the Fourth Proportional to 61,780, 85,257.71 and 34,920.90

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Solution

The fourth proportional to 61,780, 85,257.71 and 34,920.90 is: 48,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,780 : 85,257.71 = 34,920.90 : x
  2. Step 2: Convert to fraction form
    61,780/85,257.71 = 34,920.90/x
  3. Step 3: Cross multiply
    61,780x = 85,257.71 × 34,920.90
  4. Step 4: Simplify right side
    61,780x = 2,977,275,965.14
  5. Step 5: Solve for x
    x = 2,977,275,965.14/61,780
  6. Step 6: Final answer
    x = 48,191.58

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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.