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Finding the Fourth Proportional to 138,872.32, 191,642.80 and 75,208.64

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Solution

The fourth proportional to 138,872.32, 191,642.80 and 75,208.64 is: 103,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,872.32 : 191,642.80 = 75,208.64 : x
  2. Step 2: Convert to fraction form
    138,872.32/191,642.80 = 75,208.64/x
  3. Step 3: Cross multiply
    138,872.32x = 191,642.80 × 75,208.64
  4. Step 4: Simplify right side
    138,872.32x = 14,413,194,353.79
  5. Step 5: Solve for x
    x = 14,413,194,353.79/138,872.32
  6. Step 6: Final answer
    x = 103,787.38

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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.