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Finding the Fourth Proportional to 198,646.60, 298,085.10 and 74,000.20

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Solution

The fourth proportional to 198,646.60, 298,085.10 and 74,000.20 is: 111,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,646.60 : 298,085.10 = 74,000.20 : x
  2. Step 2: Convert to fraction form
    198,646.60/298,085.10 = 74,000.20/x
  3. Step 3: Cross multiply
    198,646.60x = 298,085.10 × 74,000.20
  4. Step 4: Simplify right side
    198,646.60x = 22,058,357,017.02
  5. Step 5: Solve for x
    x = 22,058,357,017.02/198,646.60
  6. Step 6: Final answer
    x = 111,043.21

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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.