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Finding the Fourth Proportional to 71,405.93, 107,087.30 and 21,472.77

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Solution

The fourth proportional to 71,405.93, 107,087.30 and 21,472.77 is: 32,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,405.93 : 107,087.30 = 21,472.77 : x
  2. Step 2: Convert to fraction form
    71,405.93/107,087.30 = 21,472.77/x
  3. Step 3: Cross multiply
    71,405.93x = 107,087.30 × 21,472.77
  4. Step 4: Simplify right side
    71,405.93x = 2,299,460,534.40
  5. Step 5: Solve for x
    x = 2,299,460,534.40/71,405.93
  6. Step 6: Final answer
    x = 32,202.66

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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.