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Finding the Fourth Proportional to 56,727, 78,302.70 and 34,371

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Solution

The fourth proportional to 56,727, 78,302.70 and 34,371 is: 47,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,727 : 78,302.70 = 34,371 : x
  2. Step 2: Convert to fraction form
    56,727/78,302.70 = 34,371/x
  3. Step 3: Cross multiply
    56,727x = 78,302.70 × 34,371
  4. Step 4: Simplify right side
    56,727x = 2,691,342,101.70
  5. Step 5: Solve for x
    x = 2,691,342,101.70/56,727
  6. Step 6: Final answer
    x = 47,443.76

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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.