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Finding the Fourth Proportional to 198,775.78, 298,102.98 and 56,632.66

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Solution

The fourth proportional to 198,775.78, 298,102.98 and 56,632.66 is: 84,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,775.78 : 298,102.98 = 56,632.66 : x
  2. Step 2: Convert to fraction form
    198,775.78/298,102.98 = 56,632.66/x
  3. Step 3: Cross multiply
    198,775.78x = 298,102.98 × 56,632.66
  4. Step 4: Simplify right side
    198,775.78x = 16,882,364,711.33
  5. Step 5: Solve for x
    x = 16,882,364,711.33/198,775.78
  6. Step 6: Final answer
    x = 84,931.70

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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.