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Finding the Fourth Proportional to 72,749.75, 100,337.76 and 47,264.31

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Solution

The fourth proportional to 72,749.75, 100,337.76 and 47,264.31 is: 65,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,749.75 : 100,337.76 = 47,264.31 : x
  2. Step 2: Convert to fraction form
    72,749.75/100,337.76 = 47,264.31/x
  3. Step 3: Cross multiply
    72,749.75x = 100,337.76 × 47,264.31
  4. Step 4: Simplify right side
    72,749.75x = 4,742,394,993.35
  5. Step 5: Solve for x
    x = 4,742,394,993.35/72,749.75
  6. Step 6: Final answer
    x = 65,187.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.