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Finding the Fourth Proportional to 81,603.40, 122,307.90 and 34,218.40

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Solution

The fourth proportional to 81,603.40, 122,307.90 and 34,218.40 is: 51,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,603.40 : 122,307.90 = 34,218.40 : x
  2. Step 2: Convert to fraction form
    81,603.40/122,307.90 = 34,218.40/x
  3. Step 3: Cross multiply
    81,603.40x = 122,307.90 × 34,218.40
  4. Step 4: Simplify right side
    81,603.40x = 4,185,180,645.36
  5. Step 5: Solve for x
    x = 4,185,180,645.36/81,603.40
  6. Step 6: Final answer
    x = 51,286.84

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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.