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Finding the Fourth Proportional to 71,502.37, 107,281.81 and 27,140.90

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Solution

The fourth proportional to 71,502.37, 107,281.81 and 27,140.90 is: 40,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502.37 : 107,281.81 = 27,140.90 : x
  2. Step 2: Convert to fraction form
    71,502.37/107,281.81 = 27,140.90/x
  3. Step 3: Cross multiply
    71,502.37x = 107,281.81 × 27,140.90
  4. Step 4: Simplify right side
    71,502.37x = 2,911,724,927.12
  5. Step 5: Solve for x
    x = 2,911,724,927.12/71,502.37
  6. Step 6: Final answer
    x = 40,722.07

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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.