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Finding the Fourth Proportional to 43,471.16, 65,206.20 and 12,306.68

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Solution

The fourth proportional to 43,471.16, 65,206.20 and 12,306.68 is: 18,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,471.16 : 65,206.20 = 12,306.68 : x
  2. Step 2: Convert to fraction form
    43,471.16/65,206.20 = 12,306.68/x
  3. Step 3: Cross multiply
    43,471.16x = 65,206.20 × 12,306.68
  4. Step 4: Simplify right side
    43,471.16x = 802,471,837.42
  5. Step 5: Solve for x
    x = 802,471,837.42/43,471.16
  6. Step 6: Final answer
    x = 18,459.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.