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Finding the Fourth Proportional to 228,043.80, 342,065.70 and 133,565.40

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Solution

The fourth proportional to 228,043.80, 342,065.70 and 133,565.40 is: 200,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,043.80 : 342,065.70 = 133,565.40 : x
  2. Step 2: Convert to fraction form
    228,043.80/342,065.70 = 133,565.40/x
  3. Step 3: Cross multiply
    228,043.80x = 342,065.70 × 133,565.40
  4. Step 4: Simplify right side
    228,043.80x = 45,688,142,046.78
  5. Step 5: Solve for x
    x = 45,688,142,046.78/228,043.80
  6. Step 6: Final answer
    x = 200,348.10

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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.