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Finding the Fourth Proportional to 81,649.95, 122,482.63 and 31,733.87

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Solution

The fourth proportional to 81,649.95, 122,482.63 and 31,733.87 is: 47,603.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,649.95 : 122,482.63 = 31,733.87 : x
  2. Step 2: Convert to fraction form
    81,649.95/122,482.63 = 31,733.87/x
  3. Step 3: Cross multiply
    81,649.95x = 122,482.63 × 31,733.87
  4. Step 4: Simplify right side
    81,649.95x = 3,886,847,392.80
  5. Step 5: Solve for x
    x = 3,886,847,392.80/81,649.95
  6. Step 6: Final answer
    x = 47,603.79

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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.