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Finding the Fourth Proportional to 159,585.22, 239,432.50 and 54,478

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Solution

The fourth proportional to 159,585.22, 239,432.50 and 54,478 is: 81,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,585.22 : 239,432.50 = 54,478 : x
  2. Step 2: Convert to fraction form
    159,585.22/239,432.50 = 54,478/x
  3. Step 3: Cross multiply
    159,585.22x = 239,432.50 × 54,478
  4. Step 4: Simplify right side
    159,585.22x = 13,043,803,735
  5. Step 5: Solve for x
    x = 13,043,803,735/159,585.22
  6. Step 6: Final answer
    x = 81,735.66

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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.