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Finding the Fourth Proportional to 78,855.14, 108,803.84 and 45,314.66

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Solution

The fourth proportional to 78,855.14, 108,803.84 and 45,314.66 is: 62,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,855.14 : 108,803.84 = 45,314.66 : x
  2. Step 2: Convert to fraction form
    78,855.14/108,803.84 = 45,314.66/x
  3. Step 3: Cross multiply
    78,855.14x = 108,803.84 × 45,314.66
  4. Step 4: Simplify right side
    78,855.14x = 4,930,409,016.29
  5. Step 5: Solve for x
    x = 4,930,409,016.29/78,855.14
  6. Step 6: Final answer
    x = 62,524.89

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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.