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Finding the Fourth Proportional to 71,192.66, 106,804.31 and 21,276.81

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Solution

The fourth proportional to 71,192.66, 106,804.31 and 21,276.81 is: 31,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,192.66 : 106,804.31 = 21,276.81 : x
  2. Step 2: Convert to fraction form
    71,192.66/106,804.31 = 21,276.81/x
  3. Step 3: Cross multiply
    71,192.66x = 106,804.31 × 21,276.81
  4. Step 4: Simplify right side
    71,192.66x = 2,272,454,904.67
  5. Step 5: Solve for x
    x = 2,272,454,904.67/71,192.66
  6. Step 6: Final answer
    x = 31,919.79

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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.