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Finding the Fourth Proportional to 81,976.76, 122,883.04 and 31,988.08

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Solution

The fourth proportional to 81,976.76, 122,883.04 and 31,988.08 is: 47,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,976.76 : 122,883.04 = 31,988.08 : x
  2. Step 2: Convert to fraction form
    81,976.76/122,883.04 = 31,988.08/x
  3. Step 3: Cross multiply
    81,976.76x = 122,883.04 × 31,988.08
  4. Step 4: Simplify right side
    81,976.76x = 3,930,792,514.16
  5. Step 5: Solve for x
    x = 3,930,792,514.16/81,976.76
  6. Step 6: Final answer
    x = 47,950.08

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1.5x scale

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.