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Finding the Fourth Proportional to 77,857, 107,442.66 and 42,529

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Solution

The fourth proportional to 77,857, 107,442.66 and 42,529 is: 58,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857 : 107,442.66 = 42,529 : x
  2. Step 2: Convert to fraction form
    77,857/107,442.66 = 42,529/x
  3. Step 3: Cross multiply
    77,857x = 107,442.66 × 42,529
  4. Step 4: Simplify right side
    77,857x = 4,569,428,887.14
  5. Step 5: Solve for x
    x = 4,569,428,887.14/77,857
  6. Step 6: Final answer
    x = 58,690.02

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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.