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Finding the Fourth Proportional to 71,122.81, 106,610.10 and 28,984.60

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Solution

The fourth proportional to 71,122.81, 106,610.10 and 28,984.60 is: 43,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,122.81 : 106,610.10 = 28,984.60 : x
  2. Step 2: Convert to fraction form
    71,122.81/106,610.10 = 28,984.60/x
  3. Step 3: Cross multiply
    71,122.81x = 106,610.10 × 28,984.60
  4. Step 4: Simplify right side
    71,122.81x = 3,090,051,104.46
  5. Step 5: Solve for x
    x = 3,090,051,104.46/71,122.81
  6. Step 6: Final answer
    x = 43,446.70

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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.