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Finding the Fourth Proportional to 77,787.54, 107,314.86 and 57,693.87

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Solution

The fourth proportional to 77,787.54, 107,314.86 and 57,693.87 is: 79,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,787.54 : 107,314.86 = 57,693.87 : x
  2. Step 2: Convert to fraction form
    77,787.54/107,314.86 = 57,693.87/x
  3. Step 3: Cross multiply
    77,787.54x = 107,314.86 × 57,693.87
  4. Step 4: Simplify right side
    77,787.54x = 6,191,409,581.91
  5. Step 5: Solve for x
    x = 6,191,409,581.91/77,787.54
  6. Step 6: Final answer
    x = 79,593.85

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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.