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Finding the Fourth Proportional to 238,225.28, 356,870.76 and 138,175.28

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Solution

The fourth proportional to 238,225.28, 356,870.76 and 138,175.28 is: 206,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,225.28 : 356,870.76 = 138,175.28 : x
  2. Step 2: Convert to fraction form
    238,225.28/356,870.76 = 138,175.28/x
  3. Step 3: Cross multiply
    238,225.28x = 356,870.76 × 138,175.28
  4. Step 4: Simplify right side
    238,225.28x = 49,310,717,186.81
  5. Step 5: Solve for x
    x = 49,310,717,186.81/238,225.28
  6. Step 6: Final answer
    x = 206,991.96

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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.