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Finding the Fourth Proportional to 97,874.70, 146,812.05 and 85,821.90

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Solution

The fourth proportional to 97,874.70, 146,812.05 and 85,821.90 is: 128,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,874.70 : 146,812.05 = 85,821.90 : x
  2. Step 2: Convert to fraction form
    97,874.70/146,812.05 = 85,821.90/x
  3. Step 3: Cross multiply
    97,874.70x = 146,812.05 × 85,821.90
  4. Step 4: Simplify right side
    97,874.70x = 12,599,689,073.90
  5. Step 5: Solve for x
    x = 12,599,689,073.90/97,874.70
  6. Step 6: Final answer
    x = 128,732.85

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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.