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Finding the Fourth Proportional to 192,713.08, 288,970 and 84,598.20

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Solution

The fourth proportional to 192,713.08, 288,970 and 84,598.20 is: 126,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,713.08 : 288,970 = 84,598.20 : x
  2. Step 2: Convert to fraction form
    192,713.08/288,970 = 84,598.20/x
  3. Step 3: Cross multiply
    192,713.08x = 288,970 × 84,598.20
  4. Step 4: Simplify right side
    192,713.08x = 24,446,341,854
  5. Step 5: Solve for x
    x = 24,446,341,854/192,713.08
  6. Step 6: Final answer
    x = 126,853.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.