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Finding the Fourth Proportional to 81,364.41, 121,952.93 and 31,422.51

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Solution

The fourth proportional to 81,364.41, 121,952.93 and 31,422.51 is: 47,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,364.41 : 121,952.93 = 31,422.51 : x
  2. Step 2: Convert to fraction form
    81,364.41/121,952.93 = 31,422.51/x
  3. Step 3: Cross multiply
    81,364.41x = 121,952.93 × 31,422.51
  4. Step 4: Simplify right side
    81,364.41x = 3,832,067,005.34
  5. Step 5: Solve for x
    x = 3,832,067,005.34/81,364.41
  6. Step 6: Final answer
    x = 47,097.58

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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.