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Finding the Fourth Proportional to 100,588.69, 138,811.92 and 55,269.47

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Solution

The fourth proportional to 100,588.69, 138,811.92 and 55,269.47 is: 76,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,588.69 : 138,811.92 = 55,269.47 : x
  2. Step 2: Convert to fraction form
    100,588.69/138,811.92 = 55,269.47/x
  3. Step 3: Cross multiply
    100,588.69x = 138,811.92 × 55,269.47
  4. Step 4: Simplify right side
    100,588.69x = 7,672,061,248.08
  5. Step 5: Solve for x
    x = 7,672,061,248.08/100,588.69
  6. Step 6: Final answer
    x = 76,271.61

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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.