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Finding the Fourth Proportional to 82,609.80, 113,742.54 and 72,909.24

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Solution

The fourth proportional to 82,609.80, 113,742.54 and 72,909.24 is: 100,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,609.80 : 113,742.54 = 72,909.24 : x
  2. Step 2: Convert to fraction form
    82,609.80/113,742.54 = 72,909.24/x
  3. Step 3: Cross multiply
    82,609.80x = 113,742.54 × 72,909.24
  4. Step 4: Simplify right side
    82,609.80x = 8,292,882,147.07
  5. Step 5: Solve for x
    x = 8,292,882,147.07/82,609.80
  6. Step 6: Final answer
    x = 100,386.18

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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.