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Finding the Fourth Proportional to 98,478.64, 147,521.35 and 75,910.42

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Solution

The fourth proportional to 98,478.64, 147,521.35 and 75,910.42 is: 113,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,478.64 : 147,521.35 = 75,910.42 : x
  2. Step 2: Convert to fraction form
    98,478.64/147,521.35 = 75,910.42/x
  3. Step 3: Cross multiply
    98,478.64x = 147,521.35 × 75,910.42
  4. Step 4: Simplify right side
    98,478.64x = 11,198,407,086.95
  5. Step 5: Solve for x
    x = 11,198,407,086.95/98,478.64
  6. Step 6: Final answer
    x = 113,714.08

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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.