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Finding the Fourth Proportional to 268,745.86, 403,177.11 and 81,752.50

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Solution

The fourth proportional to 268,745.86, 403,177.11 and 81,752.50 is: 122,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,745.86 : 403,177.11 = 81,752.50 : x
  2. Step 2: Convert to fraction form
    268,745.86/403,177.11 = 81,752.50/x
  3. Step 3: Cross multiply
    268,745.86x = 403,177.11 × 81,752.50
  4. Step 4: Simplify right side
    268,745.86x = 32,960,736,685.28
  5. Step 5: Solve for x
    x = 32,960,736,685.28/268,745.86
  6. Step 6: Final answer
    x = 122,646.49

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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.