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Finding the Fourth Proportional to 178,934, 268,402.62 and 54,275

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Solution

The fourth proportional to 178,934, 268,402.62 and 54,275 is: 81,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,934 : 268,402.62 = 54,275 : x
  2. Step 2: Convert to fraction form
    178,934/268,402.62 = 54,275/x
  3. Step 3: Cross multiply
    178,934x = 268,402.62 × 54,275
  4. Step 4: Simplify right side
    178,934x = 14,567,552,200.50
  5. Step 5: Solve for x
    x = 14,567,552,200.50/178,934
  6. Step 6: Final answer
    x = 81,412.99

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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.