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Finding the Fourth Proportional to 100,366, 138,505.08 and 55,654

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Solution

The fourth proportional to 100,366, 138,505.08 and 55,654 is: 76,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,366 : 138,505.08 = 55,654 : x
  2. Step 2: Convert to fraction form
    100,366/138,505.08 = 55,654/x
  3. Step 3: Cross multiply
    100,366x = 138,505.08 × 55,654
  4. Step 4: Simplify right side
    100,366x = 7,708,361,722.32
  5. Step 5: Solve for x
    x = 7,708,361,722.32/100,366
  6. Step 6: Final answer
    x = 76,802.52

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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.