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Finding the Fourth Proportional to 138,217.32, 190,737.52 and 77,787.88

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Solution

The fourth proportional to 138,217.32, 190,737.52 and 77,787.88 is: 107,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,217.32 : 190,737.52 = 77,787.88 : x
  2. Step 2: Convert to fraction form
    138,217.32/190,737.52 = 77,787.88/x
  3. Step 3: Cross multiply
    138,217.32x = 190,737.52 × 77,787.88
  4. Step 4: Simplify right side
    138,217.32x = 14,837,067,317.26
  5. Step 5: Solve for x
    x = 14,837,067,317.26/138,217.32
  6. Step 6: Final answer
    x = 107,345.93

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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.