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Finding the Fourth Proportional to 208,806.15, 288,153.24 and 113,312.82

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Solution

The fourth proportional to 208,806.15, 288,153.24 and 113,312.82 is: 156,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,806.15 : 288,153.24 = 113,312.82 : x
  2. Step 2: Convert to fraction form
    208,806.15/288,153.24 = 113,312.82/x
  3. Step 3: Cross multiply
    208,806.15x = 288,153.24 × 113,312.82
  4. Step 4: Simplify right side
    208,806.15x = 32,651,456,216.54
  5. Step 5: Solve for x
    x = 32,651,456,216.54/208,806.15
  6. Step 6: Final answer
    x = 156,372.10

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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.