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Finding the Fourth Proportional to 71,206.62, 106,784.40 and 21,277.42

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Solution

The fourth proportional to 71,206.62, 106,784.40 and 21,277.42 is: 31,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,206.62 : 106,784.40 = 21,277.42 : x
  2. Step 2: Convert to fraction form
    71,206.62/106,784.40 = 21,277.42/x
  3. Step 3: Cross multiply
    71,206.62x = 106,784.40 × 21,277.42
  4. Step 4: Simplify right side
    71,206.62x = 2,272,096,528.25
  5. Step 5: Solve for x
    x = 2,272,096,528.25/71,206.62
  6. Step 6: Final answer
    x = 31,908.50

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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.