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Finding the Fourth Proportional to 176,216.64, 242,843.76 and 172,978.08

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Solution

The fourth proportional to 176,216.64, 242,843.76 and 172,978.08 is: 238,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,216.64 : 242,843.76 = 172,978.08 : x
  2. Step 2: Convert to fraction form
    176,216.64/242,843.76 = 172,978.08/x
  3. Step 3: Cross multiply
    176,216.64x = 242,843.76 × 172,978.08
  4. Step 4: Simplify right side
    176,216.64x = 42,006,647,344.78
  5. Step 5: Solve for x
    x = 42,006,647,344.78/176,216.64
  6. Step 6: Final answer
    x = 238,380.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.