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Finding the Fourth Proportional to 238,612.62, 357,900.32 and 138,709.10

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Solution

The fourth proportional to 238,612.62, 357,900.32 and 138,709.10 is: 208,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,612.62 : 357,900.32 = 138,709.10 : x
  2. Step 2: Convert to fraction form
    238,612.62/357,900.32 = 138,709.10/x
  3. Step 3: Cross multiply
    238,612.62x = 357,900.32 × 138,709.10
  4. Step 4: Simplify right side
    238,612.62x = 49,644,031,276.91
  5. Step 5: Solve for x
    x = 49,644,031,276.91/238,612.62
  6. Step 6: Final answer
    x = 208,052.83

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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.