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Finding the Fourth Proportional to 253,213.42, 379,871.25 and 112,972.06

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Solution

The fourth proportional to 253,213.42, 379,871.25 and 112,972.06 is: 169,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,213.42 : 379,871.25 = 112,972.06 : x
  2. Step 2: Convert to fraction form
    253,213.42/379,871.25 = 112,972.06/x
  3. Step 3: Cross multiply
    253,213.42x = 379,871.25 × 112,972.06
  4. Step 4: Simplify right side
    253,213.42x = 42,914,837,647.28
  5. Step 5: Solve for x
    x = 42,914,837,647.28/253,213.42
  6. Step 6: Final answer
    x = 169,480.90

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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.