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Finding the Fourth Proportional to 198,749.64, 298,239.28 and 105,255.40

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Solution

The fourth proportional to 198,749.64, 298,239.28 and 105,255.40 is: 157,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,749.64 : 298,239.28 = 105,255.40 : x
  2. Step 2: Convert to fraction form
    198,749.64/298,239.28 = 105,255.40/x
  3. Step 3: Cross multiply
    198,749.64x = 298,239.28 × 105,255.40
  4. Step 4: Simplify right side
    198,749.64x = 31,391,294,712.11
  5. Step 5: Solve for x
    x = 31,391,294,712.11/198,749.64
  6. Step 6: Final answer
    x = 157,943.91

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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.