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Finding the Fourth Proportional to 126,582.72, 189,874.24 and 87,020.16

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Solution

The fourth proportional to 126,582.72, 189,874.24 and 87,020.16 is: 130,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,582.72 : 189,874.24 = 87,020.16 : x
  2. Step 2: Convert to fraction form
    126,582.72/189,874.24 = 87,020.16/x
  3. Step 3: Cross multiply
    126,582.72x = 189,874.24 × 87,020.16
  4. Step 4: Simplify right side
    126,582.72x = 16,522,886,744.68
  5. Step 5: Solve for x
    x = 16,522,886,744.68/126,582.72
  6. Step 6: Final answer
    x = 130,530.35

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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.