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Finding the Fourth Proportional to 113,003.88, 155,974.02 and 77,208.36

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Solution

The fourth proportional to 113,003.88, 155,974.02 and 77,208.36 is: 106,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,003.88 : 155,974.02 = 77,208.36 : x
  2. Step 2: Convert to fraction form
    113,003.88/155,974.02 = 77,208.36/x
  3. Step 3: Cross multiply
    113,003.88x = 155,974.02 × 77,208.36
  4. Step 4: Simplify right side
    113,003.88x = 12,042,498,286.81
  5. Step 5: Solve for x
    x = 12,042,498,286.81/113,003.88
  6. Step 6: Final answer
    x = 106,567.12

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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.