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Finding the Fourth Proportional to 83,899.84, 115,780.12 and 45,658.80

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Solution

The fourth proportional to 83,899.84, 115,780.12 and 45,658.80 is: 63,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,899.84 : 115,780.12 = 45,658.80 : x
  2. Step 2: Convert to fraction form
    83,899.84/115,780.12 = 45,658.80/x
  3. Step 3: Cross multiply
    83,899.84x = 115,780.12 × 45,658.80
  4. Step 4: Simplify right side
    83,899.84x = 5,286,381,343.06
  5. Step 5: Solve for x
    x = 5,286,381,343.06/83,899.84
  6. Step 6: Final answer
    x = 63,008.24

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1.5x scale

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.