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Finding the Fourth Proportional to 138,914.95, 191,703.51 and 75,252.70

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Solution

The fourth proportional to 138,914.95, 191,703.51 and 75,252.70 is: 103,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,914.95 : 191,703.51 = 75,252.70 : x
  2. Step 2: Convert to fraction form
    138,914.95/191,703.51 = 75,252.70/x
  3. Step 3: Cross multiply
    138,914.95x = 191,703.51 × 75,252.70
  4. Step 4: Simplify right side
    138,914.95x = 14,426,206,726.98
  5. Step 5: Solve for x
    x = 14,426,206,726.98/138,914.95
  6. Step 6: Final answer
    x = 103,849.20

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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.