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Finding the Fourth Proportional to 81,311.94, 121,967.91 and 53,603.46

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Solution

The fourth proportional to 81,311.94, 121,967.91 and 53,603.46 is: 80,405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,311.94 : 121,967.91 = 53,603.46 : x
  2. Step 2: Convert to fraction form
    81,311.94/121,967.91 = 53,603.46/x
  3. Step 3: Cross multiply
    81,311.94x = 121,967.91 × 53,603.46
  4. Step 4: Simplify right side
    81,311.94x = 6,537,901,984.97
  5. Step 5: Solve for x
    x = 6,537,901,984.97/81,311.94
  6. Step 6: Final answer
    x = 80,405.19

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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.