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Finding the Fourth Proportional to 159,784.75, 220,502.06 and 87,187.62

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Solution

The fourth proportional to 159,784.75, 220,502.06 and 87,187.62 is: 120,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,784.75 : 220,502.06 = 87,187.62 : x
  2. Step 2: Convert to fraction form
    159,784.75/220,502.06 = 87,187.62/x
  3. Step 3: Cross multiply
    159,784.75x = 220,502.06 × 87,187.62
  4. Step 4: Simplify right side
    159,784.75x = 19,225,049,816.50
  5. Step 5: Solve for x
    x = 19,225,049,816.50/159,784.75
  6. Step 6: Final answer
    x = 120,318.43

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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.