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Finding the Fourth Proportional to 83,196, 124,719.84 and 30,592.80

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Solution

The fourth proportional to 83,196, 124,719.84 and 30,592.80 is: 45,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,196 : 124,719.84 = 30,592.80 : x
  2. Step 2: Convert to fraction form
    83,196/124,719.84 = 30,592.80/x
  3. Step 3: Cross multiply
    83,196x = 124,719.84 × 30,592.80
  4. Step 4: Simplify right side
    83,196x = 3,815,529,121.15
  5. Step 5: Solve for x
    x = 3,815,529,121.15/83,196
  6. Step 6: Final answer
    x = 45,861.93

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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.