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Finding the Fourth Proportional to 253,148.68, 379,744.80 and 66,160

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Solution

The fourth proportional to 253,148.68, 379,744.80 and 66,160 is: 99,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,148.68 : 379,744.80 = 66,160 : x
  2. Step 2: Convert to fraction form
    253,148.68/379,744.80 = 66,160/x
  3. Step 3: Cross multiply
    253,148.68x = 379,744.80 × 66,160
  4. Step 4: Simplify right side
    253,148.68x = 25,123,915,968
  5. Step 5: Solve for x
    x = 25,123,915,968/253,148.68
  6. Step 6: Final answer
    x = 99,245.69

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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.