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Finding the Fourth Proportional to 57,077.30, 78,761.30 and 38,642.91

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Solution

The fourth proportional to 57,077.30, 78,761.30 and 38,642.91 is: 53,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,077.30 : 78,761.30 = 38,642.91 : x
  2. Step 2: Convert to fraction form
    57,077.30/78,761.30 = 38,642.91/x
  3. Step 3: Cross multiply
    57,077.30x = 78,761.30 × 38,642.91
  4. Step 4: Simplify right side
    57,077.30x = 3,043,565,827.38
  5. Step 5: Solve for x
    x = 3,043,565,827.38/57,077.30
  6. Step 6: Final answer
    x = 53,323.58

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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.