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Finding the Fourth Proportional to 100,299.52, 138,368.80 and 64,482.88

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Solution

The fourth proportional to 100,299.52, 138,368.80 and 64,482.88 is: 88,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,299.52 : 138,368.80 = 64,482.88 : x
  2. Step 2: Convert to fraction form
    100,299.52/138,368.80 = 64,482.88/x
  3. Step 3: Cross multiply
    100,299.52x = 138,368.80 × 64,482.88
  4. Step 4: Simplify right side
    100,299.52x = 8,922,418,726.14
  5. Step 5: Solve for x
    x = 8,922,418,726.14/100,299.52
  6. Step 6: Final answer
    x = 88,957.74

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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.