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Finding the Fourth Proportional to 52,086.70, 78,020.70 and 43,338.70

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Solution

The fourth proportional to 52,086.70, 78,020.70 and 43,338.70 is: 64,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,086.70 : 78,020.70 = 43,338.70 : x
  2. Step 2: Convert to fraction form
    52,086.70/78,020.70 = 43,338.70/x
  3. Step 3: Cross multiply
    52,086.70x = 78,020.70 × 43,338.70
  4. Step 4: Simplify right side
    52,086.70x = 3,381,315,711.09
  5. Step 5: Solve for x
    x = 3,381,315,711.09/52,086.70
  6. Step 6: Final answer
    x = 64,917.07

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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.