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Finding the Fourth Proportional to 159,454, 220,046.52 and 87,833.80

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Solution

The fourth proportional to 159,454, 220,046.52 and 87,833.80 is: 121,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,454 : 220,046.52 = 87,833.80 : x
  2. Step 2: Convert to fraction form
    159,454/220,046.52 = 87,833.80/x
  3. Step 3: Cross multiply
    159,454x = 220,046.52 × 87,833.80
  4. Step 4: Simplify right side
    159,454x = 19,327,522,028.38
  5. Step 5: Solve for x
    x = 19,327,522,028.38/159,454
  6. Step 6: Final answer
    x = 121,210.64

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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.