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Finding the Fourth Proportional to 97,960.70, 146,811.45 and 86,815.10

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Solution

The fourth proportional to 97,960.70, 146,811.45 and 86,815.10 is: 130,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,960.70 : 146,811.45 = 86,815.10 : x
  2. Step 2: Convert to fraction form
    97,960.70/146,811.45 = 86,815.10/x
  3. Step 3: Cross multiply
    97,960.70x = 146,811.45 × 86,815.10
  4. Step 4: Simplify right side
    97,960.70x = 12,745,450,712.90
  5. Step 5: Solve for x
    x = 12,745,450,712.90/97,960.70
  6. Step 6: Final answer
    x = 130,107.80

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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.