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Finding the Fourth Proportional to 81,712.64, 112,767.72 and 49,876.40

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Solution

The fourth proportional to 81,712.64, 112,767.72 and 49,876.40 is: 68,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712.64 : 112,767.72 = 49,876.40 : x
  2. Step 2: Convert to fraction form
    81,712.64/112,767.72 = 49,876.40/x
  3. Step 3: Cross multiply
    81,712.64x = 112,767.72 × 49,876.40
  4. Step 4: Simplify right side
    81,712.64x = 5,624,447,909.81
  5. Step 5: Solve for x
    x = 5,624,447,909.81/81,712.64
  6. Step 6: Final answer
    x = 68,832.04

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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.