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Finding the Fourth Proportional to 273,538.80, 410,267.16 and 86,526

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Solution

The fourth proportional to 273,538.80, 410,267.16 and 86,526 is: 129,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,538.80 : 410,267.16 = 86,526 : x
  2. Step 2: Convert to fraction form
    273,538.80/410,267.16 = 86,526/x
  3. Step 3: Cross multiply
    273,538.80x = 410,267.16 × 86,526
  4. Step 4: Simplify right side
    273,538.80x = 35,498,776,286.16
  5. Step 5: Solve for x
    x = 35,498,776,286.16/273,538.80
  6. Step 6: Final answer
    x = 129,776.02

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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.