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Finding the Fourth Proportional to 81,230.61, 121,866.72 and 31,297.29

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Solution

The fourth proportional to 81,230.61, 121,866.72 and 31,297.29 is: 46,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,230.61 : 121,866.72 = 31,297.29 : x
  2. Step 2: Convert to fraction form
    81,230.61/121,866.72 = 31,297.29/x
  3. Step 3: Cross multiply
    81,230.61x = 121,866.72 × 31,297.29
  4. Step 4: Simplify right side
    81,230.61x = 3,814,098,077.19
  5. Step 5: Solve for x
    x = 3,814,098,077.19/81,230.61
  6. Step 6: Final answer
    x = 46,953.95

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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.