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Finding the Fourth Proportional to 49,678.80, 74,503.80 and 18,085.20

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Solution

The fourth proportional to 49,678.80, 74,503.80 and 18,085.20 is: 27,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,678.80 : 74,503.80 = 18,085.20 : x
  2. Step 2: Convert to fraction form
    49,678.80/74,503.80 = 18,085.20/x
  3. Step 3: Cross multiply
    49,678.80x = 74,503.80 × 18,085.20
  4. Step 4: Simplify right side
    49,678.80x = 1,347,416,123.76
  5. Step 5: Solve for x
    x = 1,347,416,123.76/49,678.80
  6. Step 6: Final answer
    x = 27,122.56

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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.