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Finding the Fourth Proportional to 82,813.82, 124,222.78 and 30,223.30

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Solution

The fourth proportional to 82,813.82, 124,222.78 and 30,223.30 is: 45,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813.82 : 124,222.78 = 30,223.30 : x
  2. Step 2: Convert to fraction form
    82,813.82/124,222.78 = 30,223.30/x
  3. Step 3: Cross multiply
    82,813.82x = 124,222.78 × 30,223.30
  4. Step 4: Simplify right side
    82,813.82x = 3,754,422,346.77
  5. Step 5: Solve for x
    x = 3,754,422,346.77/82,813.82
  6. Step 6: Final answer
    x = 45,335.70

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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.