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Finding the Fourth Proportional to 82,810.69, 124,218.08 and 30,220.16

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Solution

The fourth proportional to 82,810.69, 124,218.08 and 30,220.16 is: 45,330.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,810.69 : 124,218.08 = 30,220.16 : x
  2. Step 2: Convert to fraction form
    82,810.69/124,218.08 = 30,220.16/x
  3. Step 3: Cross multiply
    82,810.69x = 124,218.08 × 30,220.16
  4. Step 4: Simplify right side
    82,810.69x = 3,753,890,252.49
  5. Step 5: Solve for x
    x = 3,753,890,252.49/82,810.69
  6. Step 6: Final answer
    x = 45,330.99

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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.