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Finding the Fourth Proportional to 97,689.90, 146,644.20 and 75,601.20

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Solution

The fourth proportional to 97,689.90, 146,644.20 and 75,601.20 is: 113,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,689.90 : 146,644.20 = 75,601.20 : x
  2. Step 2: Convert to fraction form
    97,689.90/146,644.20 = 75,601.20/x
  3. Step 3: Cross multiply
    97,689.90x = 146,644.20 × 75,601.20
  4. Step 4: Simplify right side
    97,689.90x = 11,086,477,493.04
  5. Step 5: Solve for x
    x = 11,086,477,493.04/97,689.90
  6. Step 6: Final answer
    x = 113,486.42

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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.