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Finding the Fourth Proportional to 198,582.68, 297,780.42 and 72,133.77

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Solution

The fourth proportional to 198,582.68, 297,780.42 and 72,133.77 is: 108,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,582.68 : 297,780.42 = 72,133.77 : x
  2. Step 2: Convert to fraction form
    198,582.68/297,780.42 = 72,133.77/x
  3. Step 3: Cross multiply
    198,582.68x = 297,780.42 × 72,133.77
  4. Step 4: Simplify right side
    198,582.68x = 21,480,024,326.78
  5. Step 5: Solve for x
    x = 21,480,024,326.78/198,582.68
  6. Step 6: Final answer
    x = 108,166.66

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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.