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Finding the Fourth Proportional to 200,123.20, 300,354.90 and 81,879.40

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Solution

The fourth proportional to 200,123.20, 300,354.90 and 81,879.40 is: 122,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,123.20 : 300,354.90 = 81,879.40 : x
  2. Step 2: Convert to fraction form
    200,123.20/300,354.90 = 81,879.40/x
  3. Step 3: Cross multiply
    200,123.20x = 300,354.90 × 81,879.40
  4. Step 4: Simplify right side
    200,123.20x = 24,592,878,999.06
  5. Step 5: Solve for x
    x = 24,592,878,999.06/200,123.20
  6. Step 6: Final answer
    x = 122,888.70

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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.