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Finding the Fourth Proportional to 208,843.02, 288,200.97 and 113,349.78

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Solution

The fourth proportional to 208,843.02, 288,200.97 and 113,349.78 is: 156,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,843.02 : 288,200.97 = 113,349.78 : x
  2. Step 2: Convert to fraction form
    208,843.02/288,200.97 = 113,349.78/x
  3. Step 3: Cross multiply
    208,843.02x = 288,200.97 × 113,349.78
  4. Step 4: Simplify right side
    208,843.02x = 32,667,516,545.29
  5. Step 5: Solve for x
    x = 32,667,516,545.29/208,843.02
  6. Step 6: Final answer
    x = 156,421.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.