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Finding the Fourth Proportional to 138,797.20, 191,539.92 and 75,134.98

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Solution

The fourth proportional to 138,797.20, 191,539.92 and 75,134.98 is: 103,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,797.20 : 191,539.92 = 75,134.98 : x
  2. Step 2: Convert to fraction form
    138,797.20/191,539.92 = 75,134.98/x
  3. Step 3: Cross multiply
    138,797.20x = 191,539.92 × 75,134.98
  4. Step 4: Simplify right side
    138,797.20x = 14,391,348,058.40
  5. Step 5: Solve for x
    x = 14,391,348,058.40/138,797.20
  6. Step 6: Final answer
    x = 103,686.16

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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.