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Finding the Fourth Proportional to 57,762.20, 86,643.30 and 26,658.20

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Solution

The fourth proportional to 57,762.20, 86,643.30 and 26,658.20 is: 39,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.20 : 86,643.30 = 26,658.20 : x
  2. Step 2: Convert to fraction form
    57,762.20/86,643.30 = 26,658.20/x
  3. Step 3: Cross multiply
    57,762.20x = 86,643.30 × 26,658.20
  4. Step 4: Simplify right side
    57,762.20x = 2,309,754,420.06
  5. Step 5: Solve for x
    x = 2,309,754,420.06/57,762.20
  6. Step 6: Final answer
    x = 39,987.30

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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.