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Finding the Fourth Proportional to 57,113.80, 85,642.95 and 28,638.52

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Solution

The fourth proportional to 57,113.80, 85,642.95 and 28,638.52 is: 42,943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,113.80 : 85,642.95 = 28,638.52 : x
  2. Step 2: Convert to fraction form
    57,113.80/85,642.95 = 28,638.52/x
  3. Step 3: Cross multiply
    57,113.80x = 85,642.95 × 28,638.52
  4. Step 4: Simplify right side
    57,113.80x = 2,452,687,068.63
  5. Step 5: Solve for x
    x = 2,452,687,068.63/57,113.80
  6. Step 6: Final answer
    x = 42,943.86

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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.