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Finding the Fourth Proportional to 100,118.31, 138,158.02 and 54,787.47

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Solution

The fourth proportional to 100,118.31, 138,158.02 and 54,787.47 is: 75,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,118.31 : 138,158.02 = 54,787.47 : x
  2. Step 2: Convert to fraction form
    100,118.31/138,158.02 = 54,787.47/x
  3. Step 3: Cross multiply
    100,118.31x = 138,158.02 × 54,787.47
  4. Step 4: Simplify right side
    100,118.31x = 7,569,328,376.01
  5. Step 5: Solve for x
    x = 7,569,328,376.01/100,118.31
  6. Step 6: Final answer
    x = 75,603.84

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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.