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Finding the Fourth Proportional to 77,140.98, 106,264.29 and 65,773.44

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Solution

The fourth proportional to 77,140.98, 106,264.29 and 65,773.44 is: 90,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140.98 : 106,264.29 = 65,773.44 : x
  2. Step 2: Convert to fraction form
    77,140.98/106,264.29 = 65,773.44/x
  3. Step 3: Cross multiply
    77,140.98x = 106,264.29 × 65,773.44
  4. Step 4: Simplify right side
    77,140.98x = 6,989,367,902.46
  5. Step 5: Solve for x
    x = 6,989,367,902.46/77,140.98
  6. Step 6: Final answer
    x = 90,605.12

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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.