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Finding the Fourth Proportional to 83,235.40, 124,853.10 and 82,457.80

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Solution

The fourth proportional to 83,235.40, 124,853.10 and 82,457.80 is: 123,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,235.40 : 124,853.10 = 82,457.80 : x
  2. Step 2: Convert to fraction form
    83,235.40/124,853.10 = 82,457.80/x
  3. Step 3: Cross multiply
    83,235.40x = 124,853.10 × 82,457.80
  4. Step 4: Simplify right side
    83,235.40x = 10,295,111,949.18
  5. Step 5: Solve for x
    x = 10,295,111,949.18/83,235.40
  6. Step 6: Final answer
    x = 123,686.70

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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.