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Finding the Fourth Proportional to 57,742.52, 86,613.80 and 42,047.44

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Solution

The fourth proportional to 57,742.52, 86,613.80 and 42,047.44 is: 63,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,742.52 : 86,613.80 = 42,047.44 : x
  2. Step 2: Convert to fraction form
    57,742.52/86,613.80 = 42,047.44/x
  3. Step 3: Cross multiply
    57,742.52x = 86,613.80 × 42,047.44
  4. Step 4: Simplify right side
    57,742.52x = 3,641,888,558.67
  5. Step 5: Solve for x
    x = 3,641,888,558.67/57,742.52
  6. Step 6: Final answer
    x = 63,071.17

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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.