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Finding the Fourth Proportional to 82,805.49, 124,210.28 and 30,214.97

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Solution

The fourth proportional to 82,805.49, 124,210.28 and 30,214.97 is: 45,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,805.49 : 124,210.28 = 30,214.97 : x
  2. Step 2: Convert to fraction form
    82,805.49/124,210.28 = 30,214.97/x
  3. Step 3: Cross multiply
    82,805.49x = 124,210.28 × 30,214.97
  4. Step 4: Simplify right side
    82,805.49x = 3,753,009,111.77
  5. Step 5: Solve for x
    x = 3,753,009,111.77/82,805.49
  6. Step 6: Final answer
    x = 45,323.19

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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.