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Finding the Fourth Proportional to 81,252.90, 121,866.98 and 31,325.72

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Solution

The fourth proportional to 81,252.90, 121,866.98 and 31,325.72 is: 46,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,252.90 : 121,866.98 = 31,325.72 : x
  2. Step 2: Convert to fraction form
    81,252.90/121,866.98 = 31,325.72/x
  3. Step 3: Cross multiply
    81,252.90x = 121,866.98 × 31,325.72
  4. Step 4: Simplify right side
    81,252.90x = 3,817,570,892.73
  5. Step 5: Solve for x
    x = 3,817,570,892.73/81,252.90
  6. Step 6: Final answer
    x = 46,983.81

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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.