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Finding the Fourth Proportional to 178,797.64, 268,254.78 and 85,291.24

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Solution

The fourth proportional to 178,797.64, 268,254.78 and 85,291.24 is: 127,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,797.64 : 268,254.78 = 85,291.24 : x
  2. Step 2: Convert to fraction form
    178,797.64/268,254.78 = 85,291.24/x
  3. Step 3: Cross multiply
    178,797.64x = 268,254.78 × 85,291.24
  4. Step 4: Simplify right side
    178,797.64x = 22,879,782,822.13
  5. Step 5: Solve for x
    x = 22,879,782,822.13/178,797.64
  6. Step 6: Final answer
    x = 127,964.68

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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.