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Finding the Fourth Proportional to 57,643.20, 86,464.80 and 26,539.20

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Solution

The fourth proportional to 57,643.20, 86,464.80 and 26,539.20 is: 39,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,643.20 : 86,464.80 = 26,539.20 : x
  2. Step 2: Convert to fraction form
    57,643.20/86,464.80 = 26,539.20/x
  3. Step 3: Cross multiply
    57,643.20x = 86,464.80 × 26,539.20
  4. Step 4: Simplify right side
    57,643.20x = 2,294,706,620.16
  5. Step 5: Solve for x
    x = 2,294,706,620.16/57,643.20
  6. Step 6: Final answer
    x = 39,808.80

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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.