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Finding the Fourth Proportional to 205,291.91, 308,103.72 and 87,046.28

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Solution

The fourth proportional to 205,291.91, 308,103.72 and 87,046.28 is: 130,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,291.91 : 308,103.72 = 87,046.28 : x
  2. Step 2: Convert to fraction form
    205,291.91/308,103.72 = 87,046.28/x
  3. Step 3: Cross multiply
    205,291.91x = 308,103.72 × 87,046.28
  4. Step 4: Simplify right side
    205,291.91x = 26,819,282,680.16
  5. Step 5: Solve for x
    x = 26,819,282,680.16/205,291.91
  6. Step 6: Final answer
    x = 130,639.74

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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.