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Finding the Fourth Proportional to 198,969.43, 298,465.83 and 56,803.78

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Solution

The fourth proportional to 198,969.43, 298,465.83 and 56,803.78 is: 85,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,969.43 : 298,465.83 = 56,803.78 : x
  2. Step 2: Convert to fraction form
    198,969.43/298,465.83 = 56,803.78/x
  3. Step 3: Cross multiply
    198,969.43x = 298,465.83 × 56,803.78
  4. Step 4: Simplify right side
    198,969.43x = 16,953,986,598.67
  5. Step 5: Solve for x
    x = 16,953,986,598.67/198,969.43
  6. Step 6: Final answer
    x = 85,209.00

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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.