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Finding the Fourth Proportional to 238,114.08, 356,922.72 and 80,288.28

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Solution

The fourth proportional to 238,114.08, 356,922.72 and 80,288.28 is: 120,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,114.08 : 356,922.72 = 80,288.28 : x
  2. Step 2: Convert to fraction form
    238,114.08/356,922.72 = 80,288.28/x
  3. Step 3: Cross multiply
    238,114.08x = 356,922.72 × 80,288.28
  4. Step 4: Simplify right side
    238,114.08x = 28,656,711,281.72
  5. Step 5: Solve for x
    x = 28,656,711,281.72/238,114.08
  6. Step 6: Final answer
    x = 120,348.66

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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.