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Finding the Fourth Proportional to 198,709.60, 298,064.40 and 131,058.40

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Solution

The fourth proportional to 198,709.60, 298,064.40 and 131,058.40 is: 196,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,709.60 : 298,064.40 = 131,058.40 : x
  2. Step 2: Convert to fraction form
    198,709.60/298,064.40 = 131,058.40/x
  3. Step 3: Cross multiply
    198,709.60x = 298,064.40 × 131,058.40
  4. Step 4: Simplify right side
    198,709.60x = 39,063,843,360.96
  5. Step 5: Solve for x
    x = 39,063,843,360.96/198,709.60
  6. Step 6: Final answer
    x = 196,587.60

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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.