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Finding the Fourth Proportional to 159,364.96, 238,999.92 and 54,160

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Solution

The fourth proportional to 159,364.96, 238,999.92 and 54,160 is: 81,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,364.96 : 238,999.92 = 54,160 : x
  2. Step 2: Convert to fraction form
    159,364.96/238,999.92 = 54,160/x
  3. Step 3: Cross multiply
    159,364.96x = 238,999.92 × 54,160
  4. Step 4: Simplify right side
    159,364.96x = 12,944,235,667.20
  5. Step 5: Solve for x
    x = 12,944,235,667.20/159,364.96
  6. Step 6: Final answer
    x = 81,223.85

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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.