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Finding the Fourth Proportional to 209,149.42, 288,625.98 and 113,655.92

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Solution

The fourth proportional to 209,149.42, 288,625.98 and 113,655.92 is: 156,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,149.42 : 288,625.98 = 113,655.92 : x
  2. Step 2: Convert to fraction form
    209,149.42/288,625.98 = 113,655.92/x
  3. Step 3: Cross multiply
    209,149.42x = 288,625.98 × 113,655.92
  4. Step 4: Simplify right side
    209,149.42x = 32,804,051,292.80
  5. Step 5: Solve for x
    x = 32,804,051,292.80/209,149.42
  6. Step 6: Final answer
    x = 156,845.05

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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.