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Finding the Fourth Proportional to 81,870.64, 122,800.40 and 31,941.52

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Solution

The fourth proportional to 81,870.64, 122,800.40 and 31,941.52 is: 47,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870.64 : 122,800.40 = 31,941.52 : x
  2. Step 2: Convert to fraction form
    81,870.64/122,800.40 = 31,941.52/x
  3. Step 3: Cross multiply
    81,870.64x = 122,800.40 × 31,941.52
  4. Step 4: Simplify right side
    81,870.64x = 3,922,431,432.61
  5. Step 5: Solve for x
    x = 3,922,431,432.61/81,870.64
  6. Step 6: Final answer
    x = 47,910.11

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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.