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Finding the Fourth Proportional to 198,657.40, 298,331.70 and 105,345.40

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Solution

The fourth proportional to 198,657.40, 298,331.70 and 105,345.40 is: 158,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,657.40 : 298,331.70 = 105,345.40 : x
  2. Step 2: Convert to fraction form
    198,657.40/298,331.70 = 105,345.40/x
  3. Step 3: Cross multiply
    198,657.40x = 298,331.70 × 105,345.40
  4. Step 4: Simplify right side
    198,657.40x = 31,427,872,269.18
  5. Step 5: Solve for x
    x = 31,427,872,269.18/198,657.40
  6. Step 6: Final answer
    x = 158,201.37

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1.5x scale

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.