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Finding the Fourth Proportional to 77,679.90, 107,084.16 and 54,948.87

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Solution

The fourth proportional to 77,679.90, 107,084.16 and 54,948.87 is: 75,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679.90 : 107,084.16 = 54,948.87 : x
  2. Step 2: Convert to fraction form
    77,679.90/107,084.16 = 54,948.87/x
  3. Step 3: Cross multiply
    77,679.90x = 107,084.16 × 54,948.87
  4. Step 4: Simplify right side
    77,679.90x = 5,884,153,586.90
  5. Step 5: Solve for x
    x = 5,884,153,586.90/77,679.90
  6. Step 6: Final answer
    x = 75,748.73

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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.