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Finding the Fourth Proportional to 208,859.72, 288,226.71 and 113,366.48

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Solution

The fourth proportional to 208,859.72, 288,226.71 and 113,366.48 is: 156,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,859.72 : 288,226.71 = 113,366.48 : x
  2. Step 2: Convert to fraction form
    208,859.72/288,226.71 = 113,366.48/x
  3. Step 3: Cross multiply
    208,859.72x = 288,226.71 × 113,366.48
  4. Step 4: Simplify right side
    208,859.72x = 32,675,246,113.55
  5. Step 5: Solve for x
    x = 32,675,246,113.55/208,859.72
  6. Step 6: Final answer
    x = 156,445.90

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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.