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Finding the Fourth Proportional to 71,751.98, 107,561.53 and 31,749.76

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Solution

The fourth proportional to 71,751.98, 107,561.53 and 31,749.76 is: 47,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,751.98 : 107,561.53 = 31,749.76 : x
  2. Step 2: Convert to fraction form
    71,751.98/107,561.53 = 31,749.76/x
  3. Step 3: Cross multiply
    71,751.98x = 107,561.53 × 31,749.76
  4. Step 4: Simplify right side
    71,751.98x = 3,415,052,762.73
  5. Step 5: Solve for x
    x = 3,415,052,762.73/71,751.98
  6. Step 6: Final answer
    x = 47,595.24

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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.