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Finding the Fourth Proportional to 208,626.30, 287,904.46 and 113,132.97

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Solution

The fourth proportional to 208,626.30, 287,904.46 and 113,132.97 is: 156,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,626.30 : 287,904.46 = 113,132.97 : x
  2. Step 2: Convert to fraction form
    208,626.30/287,904.46 = 113,132.97/x
  3. Step 3: Cross multiply
    208,626.30x = 287,904.46 × 113,132.97
  4. Step 4: Simplify right side
    208,626.30x = 32,571,486,565.34
  5. Step 5: Solve for x
    x = 32,571,486,565.34/208,626.30
  6. Step 6: Final answer
    x = 156,123.59

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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.