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Finding the Fourth Proportional to 107,861.80, 161,792.70 and 89,199.40

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Solution

The fourth proportional to 107,861.80, 161,792.70 and 89,199.40 is: 133,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,861.80 : 161,792.70 = 89,199.40 : x
  2. Step 2: Convert to fraction form
    107,861.80/161,792.70 = 89,199.40/x
  3. Step 3: Cross multiply
    107,861.80x = 161,792.70 × 89,199.40
  4. Step 4: Simplify right side
    107,861.80x = 14,431,811,764.38
  5. Step 5: Solve for x
    x = 14,431,811,764.38/107,861.80
  6. Step 6: Final answer
    x = 133,799.10

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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.