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Finding the Fourth Proportional to 112,691.84, 168,788.61 and 77,068.74

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Solution

The fourth proportional to 112,691.84, 168,788.61 and 77,068.74 is: 115,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,691.84 : 168,788.61 = 77,068.74 : x
  2. Step 2: Convert to fraction form
    112,691.84/168,788.61 = 77,068.74/x
  3. Step 3: Cross multiply
    112,691.84x = 168,788.61 × 77,068.74
  4. Step 4: Simplify right side
    112,691.84x = 13,008,325,499.05
  5. Step 5: Solve for x
    x = 13,008,325,499.05/112,691.84
  6. Step 6: Final answer
    x = 115,432.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.