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Finding the Fourth Proportional to 103,314.44, 154,932.78 and 81,386.12

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Solution

The fourth proportional to 103,314.44, 154,932.78 and 81,386.12 is: 122,048.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,314.44 : 154,932.78 = 81,386.12 : x
  2. Step 2: Convert to fraction form
    103,314.44/154,932.78 = 81,386.12/x
  3. Step 3: Cross multiply
    103,314.44x = 154,932.78 × 81,386.12
  4. Step 4: Simplify right side
    103,314.44x = 12,609,377,825.01
  5. Step 5: Solve for x
    x = 12,609,377,825.01/103,314.44
  6. Step 6: Final answer
    x = 122,048.55

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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.