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Finding the Fourth Proportional to 43,416, 65,123.94 and 28,517.16

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Solution

The fourth proportional to 43,416, 65,123.94 and 28,517.16 is: 42,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,416 : 65,123.94 = 28,517.16 : x
  2. Step 2: Convert to fraction form
    43,416/65,123.94 = 28,517.16/x
  3. Step 3: Cross multiply
    43,416x = 65,123.94 × 28,517.16
  4. Step 4: Simplify right side
    43,416x = 1,857,149,816.81
  5. Step 5: Solve for x
    x = 1,857,149,816.81/43,416
  6. Step 6: Final answer
    x = 42,775.70

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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.