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Finding the Fourth Proportional to 178,867.20, 268,300.80 and 165,350.40

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Solution

The fourth proportional to 178,867.20, 268,300.80 and 165,350.40 is: 248,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,867.20 : 268,300.80 = 165,350.40 : x
  2. Step 2: Convert to fraction form
    178,867.20/268,300.80 = 165,350.40/x
  3. Step 3: Cross multiply
    178,867.20x = 268,300.80 × 165,350.40
  4. Step 4: Simplify right side
    178,867.20x = 44,363,644,600.32
  5. Step 5: Solve for x
    x = 44,363,644,600.32/178,867.20
  6. Step 6: Final answer
    x = 248,025.60

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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.