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Finding the Fourth Proportional to 138,405.82, 191,000.03 and 74,743.61

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Solution

The fourth proportional to 138,405.82, 191,000.03 and 74,743.61 is: 103,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405.82 : 191,000.03 = 74,743.61 : x
  2. Step 2: Convert to fraction form
    138,405.82/191,000.03 = 74,743.61/x
  3. Step 3: Cross multiply
    138,405.82x = 191,000.03 × 74,743.61
  4. Step 4: Simplify right side
    138,405.82x = 14,276,031,752.31
  5. Step 5: Solve for x
    x = 14,276,031,752.31/138,405.82
  6. Step 6: Final answer
    x = 103,146.18

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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.