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Finding the Fourth Proportional to 81,902.94, 122,862.80 and 31,344.50

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Solution

The fourth proportional to 81,902.94, 122,862.80 and 31,344.50 is: 47,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,902.94 : 122,862.80 = 31,344.50 : x
  2. Step 2: Convert to fraction form
    81,902.94/122,862.80 = 31,344.50/x
  3. Step 3: Cross multiply
    81,902.94x = 122,862.80 × 31,344.50
  4. Step 4: Simplify right side
    81,902.94x = 3,851,072,420.29
  5. Step 5: Solve for x
    x = 3,851,072,420.29/81,902.94
  6. Step 6: Final answer
    x = 47,019.95

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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.