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Finding the Fourth Proportional to 83,172.87, 124,808.72 and 30,619.26

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Solution

The fourth proportional to 83,172.87, 124,808.72 and 30,619.26 is: 45,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,172.87 : 124,808.72 = 30,619.26 : x
  2. Step 2: Convert to fraction form
    83,172.87/124,808.72 = 30,619.26/x
  3. Step 3: Cross multiply
    83,172.87x = 124,808.72 × 30,619.26
  4. Step 4: Simplify right side
    83,172.87x = 3,821,550,494.85
  5. Step 5: Solve for x
    x = 3,821,550,494.85/83,172.87
  6. Step 6: Final answer
    x = 45,947.08

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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.