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Finding the Fourth Proportional to 100,602.09, 138,830.22 and 55,280.61

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Solution

The fourth proportional to 100,602.09, 138,830.22 and 55,280.61 is: 76,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602.09 : 138,830.22 = 55,280.61 : x
  2. Step 2: Convert to fraction form
    100,602.09/138,830.22 = 55,280.61/x
  3. Step 3: Cross multiply
    100,602.09x = 138,830.22 × 55,280.61
  4. Step 4: Simplify right side
    100,602.09x = 7,674,619,248.03
  5. Step 5: Solve for x
    x = 7,674,619,248.03/100,602.09
  6. Step 6: Final answer
    x = 76,286.88

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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.