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Finding the Fourth Proportional to 71,277.76, 106,952.28 and 31,863.16

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Solution

The fourth proportional to 71,277.76, 106,952.28 and 31,863.16 is: 47,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,277.76 : 106,952.28 = 31,863.16 : x
  2. Step 2: Convert to fraction form
    71,277.76/106,952.28 = 31,863.16/x
  3. Step 3: Cross multiply
    71,277.76x = 106,952.28 × 31,863.16
  4. Step 4: Simplify right side
    71,277.76x = 3,407,837,610.00
  5. Step 5: Solve for x
    x = 3,407,837,610.00/71,277.76
  6. Step 6: Final answer
    x = 47,810.67

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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.