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Finding the Fourth Proportional to 77,309.84, 106,708.60 and 45,489

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Solution

The fourth proportional to 77,309.84, 106,708.60 and 45,489 is: 62,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.84 : 106,708.60 = 45,489 : x
  2. Step 2: Convert to fraction form
    77,309.84/106,708.60 = 45,489/x
  3. Step 3: Cross multiply
    77,309.84x = 106,708.60 × 45,489
  4. Step 4: Simplify right side
    77,309.84x = 4,854,067,505.40
  5. Step 5: Solve for x
    x = 4,854,067,505.40/77,309.84
  6. Step 6: Final answer
    x = 62,787.19

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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.