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Finding the Fourth Proportional to 159,182.49, 219,667.20 and 87,562.50

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Solution

The fourth proportional to 159,182.49, 219,667.20 and 87,562.50 is: 120,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,182.49 : 219,667.20 = 87,562.50 : x
  2. Step 2: Convert to fraction form
    159,182.49/219,667.20 = 87,562.50/x
  3. Step 3: Cross multiply
    159,182.49x = 219,667.20 × 87,562.50
  4. Step 4: Simplify right side
    159,182.49x = 19,234,609,200
  5. Step 5: Solve for x
    x = 19,234,609,200/159,182.49
  6. Step 6: Final answer
    x = 120,833.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.