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Finding the Fourth Proportional to 85,279.66, 127,753.26 and 51,916.98

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Solution

The fourth proportional to 85,279.66, 127,753.26 and 51,916.98 is: 77,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,279.66 : 127,753.26 = 51,916.98 : x
  2. Step 2: Convert to fraction form
    85,279.66/127,753.26 = 51,916.98/x
  3. Step 3: Cross multiply
    85,279.66x = 127,753.26 × 51,916.98
  4. Step 4: Simplify right side
    85,279.66x = 6,632,563,444.35
  5. Step 5: Solve for x
    x = 6,632,563,444.35/85,279.66
  6. Step 6: Final answer
    x = 77,774.27

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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.