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Finding the Fourth Proportional to 200,501.20, 300,751.80 and 82,257.40

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Solution

The fourth proportional to 200,501.20, 300,751.80 and 82,257.40 is: 123,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,501.20 : 300,751.80 = 82,257.40 : x
  2. Step 2: Convert to fraction form
    200,501.20/300,751.80 = 82,257.40/x
  3. Step 3: Cross multiply
    200,501.20x = 300,751.80 × 82,257.40
  4. Step 4: Simplify right side
    200,501.20x = 24,739,061,113.32
  5. Step 5: Solve for x
    x = 24,739,061,113.32/200,501.20
  6. Step 6: Final answer
    x = 123,386.10

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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.