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Finding the Fourth Proportional to 192,812.32, 288,841.83 and 132,830.20

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Solution

The fourth proportional to 192,812.32, 288,841.83 and 132,830.20 is: 198,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,812.32 : 288,841.83 = 132,830.20 : x
  2. Step 2: Convert to fraction form
    192,812.32/288,841.83 = 132,830.20/x
  3. Step 3: Cross multiply
    192,812.32x = 288,841.83 × 132,830.20
  4. Step 4: Simplify right side
    192,812.32x = 38,366,918,047.27
  5. Step 5: Solve for x
    x = 38,366,918,047.27/192,812.32
  6. Step 6: Final answer
    x = 198,985.82

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1.5x scale

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.