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Finding the Fourth Proportional to 178,902, 246,715.20 and 117,540.24

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Solution

The fourth proportional to 178,902, 246,715.20 and 117,540.24 is: 162,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,902 : 246,715.20 = 117,540.24 : x
  2. Step 2: Convert to fraction form
    178,902/246,715.20 = 117,540.24/x
  3. Step 3: Cross multiply
    178,902x = 246,715.20 × 117,540.24
  4. Step 4: Simplify right side
    178,902x = 28,998,963,819.65
  5. Step 5: Solve for x
    x = 28,998,963,819.65/178,902
  6. Step 6: Final answer
    x = 162,094.13

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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.