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Finding the Fourth Proportional to 159,189.50, 219,667.11 and 87,572.54

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Solution

The fourth proportional to 159,189.50, 219,667.11 and 87,572.54 is: 120,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,189.50 : 219,667.11 = 87,572.54 : x
  2. Step 2: Convert to fraction form
    159,189.50/219,667.11 = 87,572.54/x
  3. Step 3: Cross multiply
    159,189.50x = 219,667.11 × 87,572.54
  4. Step 4: Simplify right side
    159,189.50x = 19,236,806,777.16
  5. Step 5: Solve for x
    x = 19,236,806,777.16/159,189.50
  6. Step 6: Final answer
    x = 120,842.18

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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.