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Finding the Fourth Proportional to 100,304.80, 138,357.68 and 64,541.28

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Solution

The fourth proportional to 100,304.80, 138,357.68 and 64,541.28 is: 89,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,304.80 : 138,357.68 = 64,541.28 : x
  2. Step 2: Convert to fraction form
    100,304.80/138,357.68 = 64,541.28/x
  3. Step 3: Cross multiply
    100,304.80x = 138,357.68 × 64,541.28
  4. Step 4: Simplify right side
    100,304.80x = 8,929,781,765.03
  5. Step 5: Solve for x
    x = 8,929,781,765.03/100,304.80
  6. Step 6: Final answer
    x = 89,026.46

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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.