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Finding the Fourth Proportional to 100,022.80, 137,809.92 and 65,971.20

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Solution

The fourth proportional to 100,022.80, 137,809.92 and 65,971.20 is: 90,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,022.80 : 137,809.92 = 65,971.20 : x
  2. Step 2: Convert to fraction form
    100,022.80/137,809.92 = 65,971.20/x
  3. Step 3: Cross multiply
    100,022.80x = 137,809.92 × 65,971.20
  4. Step 4: Simplify right side
    100,022.80x = 9,091,485,794.30
  5. Step 5: Solve for x
    x = 9,091,485,794.30/100,022.80
  6. Step 6: Final answer
    x = 90,894.13

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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.