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Finding the Fourth Proportional to 178,796.64, 268,253.28 and 85,290.24

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Solution

The fourth proportional to 178,796.64, 268,253.28 and 85,290.24 is: 127,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,796.64 : 268,253.28 = 85,290.24 : x
  2. Step 2: Convert to fraction form
    178,796.64/268,253.28 = 85,290.24/x
  3. Step 3: Cross multiply
    178,796.64x = 268,253.28 × 85,290.24
  4. Step 4: Simplify right side
    178,796.64x = 22,879,386,631.99
  5. Step 5: Solve for x
    x = 22,879,386,631.99/178,796.64
  6. Step 6: Final answer
    x = 127,963.18

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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.