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Finding the Fourth Proportional to 100,329.30, 138,499.02 and 64,078.29

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Solution

The fourth proportional to 100,329.30, 138,499.02 and 64,078.29 is: 88,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,329.30 : 138,499.02 = 64,078.29 : x
  2. Step 2: Convert to fraction form
    100,329.30/138,499.02 = 64,078.29/x
  3. Step 3: Cross multiply
    100,329.30x = 138,499.02 × 64,078.29
  4. Step 4: Simplify right side
    100,329.30x = 8,874,780,368.28
  5. Step 5: Solve for x
    x = 8,874,780,368.28/100,329.30
  6. Step 6: Final answer
    x = 88,456.52

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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.