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Finding the Fourth Proportional to 112,690.84, 168,787.11 and 77,067.74

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Solution

The fourth proportional to 112,690.84, 168,787.11 and 77,067.74 is: 115,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,690.84 : 168,787.11 = 77,067.74 : x
  2. Step 2: Convert to fraction form
    112,690.84/168,787.11 = 77,067.74/x
  3. Step 3: Cross multiply
    112,690.84x = 168,787.11 × 77,067.74
  4. Step 4: Simplify right side
    112,690.84x = 13,008,041,108.83
  5. Step 5: Solve for x
    x = 13,008,041,108.83/112,690.84
  6. Step 6: Final answer
    x = 115,431.22

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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.