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Finding the Fourth Proportional to 159,200.10, 219,694.56 and 87,580.20

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Solution

The fourth proportional to 159,200.10, 219,694.56 and 87,580.20 is: 120,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,200.10 : 219,694.56 = 87,580.20 : x
  2. Step 2: Convert to fraction form
    159,200.10/219,694.56 = 87,580.20/x
  3. Step 3: Cross multiply
    159,200.10x = 219,694.56 × 87,580.20
  4. Step 4: Simplify right side
    159,200.10x = 19,240,893,503.71
  5. Step 5: Solve for x
    x = 19,240,893,503.71/159,200.10
  6. Step 6: Final answer
    x = 120,859.81

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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.