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Finding the Fourth Proportional to 52,453.91, 78,713.67 and 21,289.16

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Solution

The fourth proportional to 52,453.91, 78,713.67 and 21,289.16 is: 31,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,453.91 : 78,713.67 = 21,289.16 : x
  2. Step 2: Convert to fraction form
    52,453.91/78,713.67 = 21,289.16/x
  3. Step 3: Cross multiply
    52,453.91x = 78,713.67 × 21,289.16
  4. Step 4: Simplify right side
    52,453.91x = 1,675,747,521.25
  5. Step 5: Solve for x
    x = 1,675,747,521.25/52,453.91
  6. Step 6: Final answer
    x = 31,947.05

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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.