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Finding the Fourth Proportional to 187,122.96, 280,509.30 and 68,762.52

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Solution

The fourth proportional to 187,122.96, 280,509.30 and 68,762.52 is: 103,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,122.96 : 280,509.30 = 68,762.52 : x
  2. Step 2: Convert to fraction form
    187,122.96/280,509.30 = 68,762.52/x
  3. Step 3: Cross multiply
    187,122.96x = 280,509.30 × 68,762.52
  4. Step 4: Simplify right side
    187,122.96x = 19,288,526,351.44
  5. Step 5: Solve for x
    x = 19,288,526,351.44/187,122.96
  6. Step 6: Final answer
    x = 103,079.42

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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.