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Finding the Fourth Proportional to 138,605.31, 191,275.40 and 74,943.05

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Solution

The fourth proportional to 138,605.31, 191,275.40 and 74,943.05 is: 103,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,605.31 : 191,275.40 = 74,943.05 : x
  2. Step 2: Convert to fraction form
    138,605.31/191,275.40 = 74,943.05/x
  3. Step 3: Cross multiply
    138,605.31x = 191,275.40 × 74,943.05
  4. Step 4: Simplify right side
    138,605.31x = 14,334,761,096.95
  5. Step 5: Solve for x
    x = 14,334,761,096.95/138,605.31
  6. Step 6: Final answer
    x = 103,421.44

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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.