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Finding the Fourth Proportional to 82,999.38, 124,499 and 30,412.98

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Solution

The fourth proportional to 82,999.38, 124,499 and 30,412.98 is: 45,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,999.38 : 124,499 = 30,412.98 : x
  2. Step 2: Convert to fraction form
    82,999.38/124,499 = 30,412.98/x
  3. Step 3: Cross multiply
    82,999.38x = 124,499 × 30,412.98
  4. Step 4: Simplify right side
    82,999.38x = 3,786,385,597.02
  5. Step 5: Solve for x
    x = 3,786,385,597.02/82,999.38
  6. Step 6: Final answer
    x = 45,619.44

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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.