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Finding the Fourth Proportional to 61,165.98, 84,294.75 and 47,715.90

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Solution

The fourth proportional to 61,165.98, 84,294.75 and 47,715.90 is: 65,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,165.98 : 84,294.75 = 47,715.90 : x
  2. Step 2: Convert to fraction form
    61,165.98/84,294.75 = 47,715.90/x
  3. Step 3: Cross multiply
    61,165.98x = 84,294.75 × 47,715.90
  4. Step 4: Simplify right side
    61,165.98x = 4,022,199,861.53
  5. Step 5: Solve for x
    x = 4,022,199,861.53/61,165.98
  6. Step 6: Final answer
    x = 65,758.77

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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.