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Finding the Fourth Proportional to 71,326.48, 106,989.63 and 21,406.51

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Solution

The fourth proportional to 71,326.48, 106,989.63 and 21,406.51 is: 32,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,326.48 : 106,989.63 = 21,406.51 : x
  2. Step 2: Convert to fraction form
    71,326.48/106,989.63 = 21,406.51/x
  3. Step 3: Cross multiply
    71,326.48x = 106,989.63 × 21,406.51
  4. Step 4: Simplify right side
    71,326.48x = 2,290,274,584.49
  5. Step 5: Solve for x
    x = 2,290,274,584.49/71,326.48
  6. Step 6: Final answer
    x = 32,109.74

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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.