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Finding the Fourth Proportional to 81,307.77, 121,891.56 and 31,422.87

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Solution

The fourth proportional to 81,307.77, 121,891.56 and 31,422.87 is: 47,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,307.77 : 121,891.56 = 31,422.87 : x
  2. Step 2: Convert to fraction form
    81,307.77/121,891.56 = 31,422.87/x
  3. Step 3: Cross multiply
    81,307.77x = 121,891.56 × 31,422.87
  4. Step 4: Simplify right side
    81,307.77x = 3,830,182,643.98
  5. Step 5: Solve for x
    x = 3,830,182,643.98/81,307.77
  6. Step 6: Final answer
    x = 47,107.22

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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.