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Finding the Fourth Proportional to 159,809.28, 239,680 and 47,490.56

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Solution

The fourth proportional to 159,809.28, 239,680 and 47,490.56 is: 71,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,809.28 : 239,680 = 47,490.56 : x
  2. Step 2: Convert to fraction form
    159,809.28/239,680 = 47,490.56/x
  3. Step 3: Cross multiply
    159,809.28x = 239,680 × 47,490.56
  4. Step 4: Simplify right side
    159,809.28x = 11,382,537,420.80
  5. Step 5: Solve for x
    x = 11,382,537,420.80/159,809.28
  6. Step 6: Final answer
    x = 71,225.76

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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.