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Finding the Fourth Proportional to 56,874, 85,142.46 and 42,148.98

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Solution

The fourth proportional to 56,874, 85,142.46 and 42,148.98 is: 63,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,874 : 85,142.46 = 42,148.98 : x
  2. Step 2: Convert to fraction form
    56,874/85,142.46 = 42,148.98/x
  3. Step 3: Cross multiply
    56,874x = 85,142.46 × 42,148.98
  4. Step 4: Simplify right side
    56,874x = 3,588,667,843.69
  5. Step 5: Solve for x
    x = 3,588,667,843.69/56,874
  6. Step 6: Final answer
    x = 63,098.57

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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.