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Finding the Fourth Proportional to 71,171.28, 106,923.35 and 61,206.77

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Solution

The fourth proportional to 71,171.28, 106,923.35 and 61,206.77 is: 91,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,171.28 : 106,923.35 = 61,206.77 : x
  2. Step 2: Convert to fraction form
    71,171.28/106,923.35 = 61,206.77/x
  3. Step 3: Cross multiply
    71,171.28x = 106,923.35 × 61,206.77
  4. Step 4: Simplify right side
    71,171.28x = 6,544,433,311.40
  5. Step 5: Solve for x
    x = 6,544,433,311.40/71,171.28
  6. Step 6: Final answer
    x = 91,953.29

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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.