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Finding the Fourth Proportional to 160,217.76, 240,444.88 and 75,978.20

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Solution

The fourth proportional to 160,217.76, 240,444.88 and 75,978.20 is: 114,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,217.76 : 240,444.88 = 75,978.20 : x
  2. Step 2: Convert to fraction form
    160,217.76/240,444.88 = 75,978.20/x
  3. Step 3: Cross multiply
    160,217.76x = 240,444.88 × 75,978.20
  4. Step 4: Simplify right side
    160,217.76x = 18,268,569,181.62
  5. Step 5: Solve for x
    x = 18,268,569,181.62/160,217.76
  6. Step 6: Final answer
    x = 114,023.37

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1.5x scale

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.