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Finding the Fourth Proportional to 273,539.80, 410,268.64 and 86,527

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Solution

The fourth proportional to 273,539.80, 410,268.64 and 86,527 is: 129,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,539.80 : 410,268.64 = 86,527 : x
  2. Step 2: Convert to fraction form
    273,539.80/410,268.64 = 86,527/x
  3. Step 3: Cross multiply
    273,539.80x = 410,268.64 × 86,527
  4. Step 4: Simplify right side
    273,539.80x = 35,499,314,613.28
  5. Step 5: Solve for x
    x = 35,499,314,613.28/273,539.80
  6. Step 6: Final answer
    x = 129,777.51

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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.