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Finding the Fourth Proportional to 238,586.76, 357,870.78 and 80,815.20

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Solution

The fourth proportional to 238,586.76, 357,870.78 and 80,815.20 is: 121,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,586.76 : 357,870.78 = 80,815.20 : x
  2. Step 2: Convert to fraction form
    238,586.76/357,870.78 = 80,815.20/x
  3. Step 3: Cross multiply
    238,586.76x = 357,870.78 × 80,815.20
  4. Step 4: Simplify right side
    238,586.76x = 28,921,398,659.86
  5. Step 5: Solve for x
    x = 28,921,398,659.86/238,586.76
  6. Step 6: Final answer
    x = 121,219.63

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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.