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Finding the Fourth Proportional to 100,532.41, 138,788.58 and 77,511.95

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Solution

The fourth proportional to 100,532.41, 138,788.58 and 77,511.95 is: 107,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,532.41 : 138,788.58 = 77,511.95 : x
  2. Step 2: Convert to fraction form
    100,532.41/138,788.58 = 77,511.95/x
  3. Step 3: Cross multiply
    100,532.41x = 138,788.58 × 77,511.95
  4. Step 4: Simplify right side
    100,532.41x = 10,757,773,590.72
  5. Step 5: Solve for x
    x = 10,757,773,590.72/100,532.41
  6. Step 6: Final answer
    x = 107,008.02

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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.