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Finding the Fourth Proportional to 268,233.58, 402,408.69 and 81,259.66

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Solution

The fourth proportional to 268,233.58, 402,408.69 and 81,259.66 is: 121,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,233.58 : 402,408.69 = 81,259.66 : x
  2. Step 2: Convert to fraction form
    268,233.58/402,408.69 = 81,259.66/x
  3. Step 3: Cross multiply
    268,233.58x = 402,408.69 × 81,259.66
  4. Step 4: Simplify right side
    268,233.58x = 32,699,593,330.45
  5. Step 5: Solve for x
    x = 32,699,593,330.45/268,233.58
  6. Step 6: Final answer
    x = 121,907.16

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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.