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Finding the Fourth Proportional to 159,872.16, 220,623.98 and 87,275.10

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Solution

The fourth proportional to 159,872.16, 220,623.98 and 87,275.10 is: 120,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,872.16 : 220,623.98 = 87,275.10 : x
  2. Step 2: Convert to fraction form
    159,872.16/220,623.98 = 87,275.10/x
  3. Step 3: Cross multiply
    159,872.16x = 220,623.98 × 87,275.10
  4. Step 4: Simplify right side
    159,872.16x = 19,254,979,480.52
  5. Step 5: Solve for x
    x = 19,254,979,480.52/159,872.16
  6. Step 6: Final answer
    x = 120,439.85

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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.