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Finding the Fourth Proportional to 138,605.76, 191,275.84 and 74,943.52

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Solution

The fourth proportional to 138,605.76, 191,275.84 and 74,943.52 is: 103,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,605.76 : 191,275.84 = 74,943.52 : x
  2. Step 2: Convert to fraction form
    138,605.76/191,275.84 = 74,943.52/x
  3. Step 3: Cross multiply
    138,605.76x = 191,275.84 × 74,943.52
  4. Step 4: Simplify right side
    138,605.76x = 14,334,884,740.56
  5. Step 5: Solve for x
    x = 14,334,884,740.56/138,605.76
  6. Step 6: Final answer
    x = 103,422.00

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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.