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Finding the Fourth Proportional to 82,547.80, 123,821.70 and 20,218.30

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Solution

The fourth proportional to 82,547.80, 123,821.70 and 20,218.30 is: 30,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,547.80 : 123,821.70 = 20,218.30 : x
  2. Step 2: Convert to fraction form
    82,547.80/123,821.70 = 20,218.30/x
  3. Step 3: Cross multiply
    82,547.80x = 123,821.70 × 20,218.30
  4. Step 4: Simplify right side
    82,547.80x = 2,503,464,277.11
  5. Step 5: Solve for x
    x = 2,503,464,277.11/82,547.80
  6. Step 6: Final answer
    x = 30,327.45

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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.