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Finding the Fourth Proportional to 83,134.08, 114,492 and 77,797.92

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Solution

The fourth proportional to 83,134.08, 114,492 and 77,797.92 is: 107,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,134.08 : 114,492 = 77,797.92 : x
  2. Step 2: Convert to fraction form
    83,134.08/114,492 = 77,797.92/x
  3. Step 3: Cross multiply
    83,134.08x = 114,492 × 77,797.92
  4. Step 4: Simplify right side
    83,134.08x = 8,907,239,456.64
  5. Step 5: Solve for x
    x = 8,907,239,456.64/83,134.08
  6. Step 6: Final answer
    x = 107,143.06

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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.