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Finding the Fourth Proportional to 138,409.67, 191,005.35 and 74,747.47

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Solution

The fourth proportional to 138,409.67, 191,005.35 and 74,747.47 is: 103,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,409.67 : 191,005.35 = 74,747.47 : x
  2. Step 2: Convert to fraction form
    138,409.67/191,005.35 = 74,747.47/x
  3. Step 3: Cross multiply
    138,409.67x = 191,005.35 × 74,747.47
  4. Step 4: Simplify right side
    138,409.67x = 14,277,165,340.20
  5. Step 5: Solve for x
    x = 14,277,165,340.20/138,409.67
  6. Step 6: Final answer
    x = 103,151.50

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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.