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Finding the Fourth Proportional to 71,424.84, 107,155.10 and 21,503.83

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Solution

The fourth proportional to 71,424.84, 107,155.10 and 21,503.83 is: 32,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,424.84 : 107,155.10 = 21,503.83 : x
  2. Step 2: Convert to fraction form
    71,424.84/107,155.10 = 21,503.83/x
  3. Step 3: Cross multiply
    71,424.84x = 107,155.10 × 21,503.83
  4. Step 4: Simplify right side
    71,424.84x = 2,304,245,040.82
  5. Step 5: Solve for x
    x = 2,304,245,040.82/71,424.84
  6. Step 6: Final answer
    x = 32,261.12

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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.