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Finding the Fourth Proportional to 138,409.81, 191,005.54 and 74,747.61

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Solution

The fourth proportional to 138,409.81, 191,005.54 and 74,747.61 is: 103,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,409.81 : 191,005.54 = 74,747.61 : x
  2. Step 2: Convert to fraction form
    138,409.81/191,005.54 = 74,747.61/x
  3. Step 3: Cross multiply
    138,409.81x = 191,005.54 × 74,747.61
  4. Step 4: Simplify right side
    138,409.81x = 14,277,207,424.89
  5. Step 5: Solve for x
    x = 14,277,207,424.89/138,409.81
  6. Step 6: Final answer
    x = 103,151.70

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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.