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Finding the Fourth Proportional to 85,066.53, 127,572.64 and 28,129.88

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Solution

The fourth proportional to 85,066.53, 127,572.64 and 28,129.88 is: 42,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,066.53 : 127,572.64 = 28,129.88 : x
  2. Step 2: Convert to fraction form
    85,066.53/127,572.64 = 28,129.88/x
  3. Step 3: Cross multiply
    85,066.53x = 127,572.64 × 28,129.88
  4. Step 4: Simplify right side
    85,066.53x = 3,588,602,275.97
  5. Step 5: Solve for x
    x = 3,588,602,275.97/85,066.53
  6. Step 6: Final answer
    x = 42,185.83

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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.