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Finding the Fourth Proportional to 138,901.86, 191,683.94 and 75,239.82

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Solution

The fourth proportional to 138,901.86, 191,683.94 and 75,239.82 is: 103,830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,901.86 : 191,683.94 = 75,239.82 : x
  2. Step 2: Convert to fraction form
    138,901.86/191,683.94 = 75,239.82/x
  3. Step 3: Cross multiply
    138,901.86x = 191,683.94 × 75,239.82
  4. Step 4: Simplify right side
    138,901.86x = 14,422,264,766.29
  5. Step 5: Solve for x
    x = 14,422,264,766.29/138,901.86
  6. Step 6: Final answer
    x = 103,830.61

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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.