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Finding the Fourth Proportional to 192,776.80, 288,934.80 and 99,234.40

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Solution

The fourth proportional to 192,776.80, 288,934.80 and 99,234.40 is: 148,733.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,776.80 : 288,934.80 = 99,234.40 : x
  2. Step 2: Convert to fraction form
    192,776.80/288,934.80 = 99,234.40/x
  3. Step 3: Cross multiply
    192,776.80x = 288,934.80 × 99,234.40
  4. Step 4: Simplify right side
    192,776.80x = 28,672,271,517.12
  5. Step 5: Solve for x
    x = 28,672,271,517.12/192,776.80
  6. Step 6: Final answer
    x = 148,733.00

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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.