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Finding the Fourth Proportional to 114,768.80, 158,459.78 and 71,766.91

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Solution

The fourth proportional to 114,768.80, 158,459.78 and 71,766.91 is: 99,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,768.80 : 158,459.78 = 71,766.91 : x
  2. Step 2: Convert to fraction form
    114,768.80/158,459.78 = 71,766.91/x
  3. Step 3: Cross multiply
    114,768.80x = 158,459.78 × 71,766.91
  4. Step 4: Simplify right side
    114,768.80x = 11,372,167,618.75
  5. Step 5: Solve for x
    x = 11,372,167,618.75/114,768.80
  6. Step 6: Final answer
    x = 99,087.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.