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Finding the Fourth Proportional to 159,302.40, 238,964.40 and 54,129.30

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Solution

The fourth proportional to 159,302.40, 238,964.40 and 54,129.30 is: 81,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,302.40 : 238,964.40 = 54,129.30 : x
  2. Step 2: Convert to fraction form
    159,302.40/238,964.40 = 54,129.30/x
  3. Step 3: Cross multiply
    159,302.40x = 238,964.40 × 54,129.30
  4. Step 4: Simplify right side
    159,302.40x = 12,934,975,696.92
  5. Step 5: Solve for x
    x = 12,934,975,696.92/159,302.40
  6. Step 6: Final answer
    x = 81,197.62

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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.