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Finding the Fourth Proportional to 98,016.72, 146,971.32 and 45,397.20

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Solution

The fourth proportional to 98,016.72, 146,971.32 and 45,397.20 is: 68,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016.72 : 146,971.32 = 45,397.20 : x
  2. Step 2: Convert to fraction form
    98,016.72/146,971.32 = 45,397.20/x
  3. Step 3: Cross multiply
    98,016.72x = 146,971.32 × 45,397.20
  4. Step 4: Simplify right side
    98,016.72x = 6,672,086,408.30
  5. Step 5: Solve for x
    x = 6,672,086,408.30/98,016.72
  6. Step 6: Final answer
    x = 68,070.90

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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.