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Finding the Fourth Proportional to 138,870.52, 191,640.89 and 75,208.30

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Solution

The fourth proportional to 138,870.52, 191,640.89 and 75,208.30 is: 103,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,870.52 : 191,640.89 = 75,208.30 : x
  2. Step 2: Convert to fraction form
    138,870.52/191,640.89 = 75,208.30/x
  3. Step 3: Cross multiply
    138,870.52x = 191,640.89 × 75,208.30
  4. Step 4: Simplify right side
    138,870.52x = 14,412,985,256.31
  5. Step 5: Solve for x
    x = 14,412,985,256.31/138,870.52
  6. Step 6: Final answer
    x = 103,787.22

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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.