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Finding the Fourth Proportional to 97,956.70, 146,805.45 and 86,811.10

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Solution

The fourth proportional to 97,956.70, 146,805.45 and 86,811.10 is: 130,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,956.70 : 146,805.45 = 86,811.10 : x
  2. Step 2: Convert to fraction form
    97,956.70/146,805.45 = 86,811.10/x
  3. Step 3: Cross multiply
    97,956.70x = 146,805.45 × 86,811.10
  4. Step 4: Simplify right side
    97,956.70x = 12,744,342,600.50
  5. Step 5: Solve for x
    x = 12,744,342,600.50/97,956.70
  6. Step 6: Final answer
    x = 130,101.80

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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.