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Finding the Fourth Proportional to 39,757.60, 59,643.60 and 19,986.40

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Solution

The fourth proportional to 39,757.60, 59,643.60 and 19,986.40 is: 29,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,757.60 : 59,643.60 = 19,986.40 : x
  2. Step 2: Convert to fraction form
    39,757.60/59,643.60 = 19,986.40/x
  3. Step 3: Cross multiply
    39,757.60x = 59,643.60 × 19,986.40
  4. Step 4: Simplify right side
    39,757.60x = 1,192,060,847.04
  5. Step 5: Solve for x
    x = 1,192,060,847.04/39,757.60
  6. Step 6: Final answer
    x = 29,983.22

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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.