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Finding the Fourth Proportional to 85,339.88, 127,970.20 and 49,811.46

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Solution

The fourth proportional to 85,339.88, 127,970.20 and 49,811.46 is: 74,694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,339.88 : 127,970.20 = 49,811.46 : x
  2. Step 2: Convert to fraction form
    85,339.88/127,970.20 = 49,811.46/x
  3. Step 3: Cross multiply
    85,339.88x = 127,970.20 × 49,811.46
  4. Step 4: Simplify right side
    85,339.88x = 6,374,382,080.87
  5. Step 5: Solve for x
    x = 6,374,382,080.87/85,339.88
  6. Step 6: Final answer
    x = 74,694.06

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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.