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Finding the Fourth Proportional to 198,510.74, 297,598.64 and 86,106.33

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Solution

The fourth proportional to 198,510.74, 297,598.64 and 86,106.33 is: 129,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,510.74 : 297,598.64 = 86,106.33 : x
  2. Step 2: Convert to fraction form
    198,510.74/297,598.64 = 86,106.33/x
  3. Step 3: Cross multiply
    198,510.74x = 297,598.64 × 86,106.33
  4. Step 4: Simplify right side
    198,510.74x = 25,625,126,703.39
  5. Step 5: Solve for x
    x = 25,625,126,703.39/198,510.74
  6. Step 6: Final answer
    x = 129,086.85

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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.