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Finding the Fourth Proportional to 52,947, 79,456.95 and 21,782.25

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Solution

The fourth proportional to 52,947, 79,456.95 and 21,782.25 is: 32,688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,947 : 79,456.95 = 21,782.25 : x
  2. Step 2: Convert to fraction form
    52,947/79,456.95 = 21,782.25/x
  3. Step 3: Cross multiply
    52,947x = 79,456.95 × 21,782.25
  4. Step 4: Simplify right side
    52,947x = 1,730,751,149.14
  5. Step 5: Solve for x
    x = 1,730,751,149.14/52,947
  6. Step 6: Final answer
    x = 32,688.37

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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.