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Finding the Fourth Proportional to 83,643.84, 115,428.68 and 49,659.16

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Solution

The fourth proportional to 83,643.84, 115,428.68 and 49,659.16 is: 68,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643.84 : 115,428.68 = 49,659.16 : x
  2. Step 2: Convert to fraction form
    83,643.84/115,428.68 = 49,659.16/x
  3. Step 3: Cross multiply
    83,643.84x = 115,428.68 × 49,659.16
  4. Step 4: Simplify right side
    83,643.84x = 5,732,091,288.71
  5. Step 5: Solve for x
    x = 5,732,091,288.71/83,643.84
  6. Step 6: Final answer
    x = 68,529.75

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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.