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Finding the Fourth Proportional to 72,872.76, 100,608.14 and 47,766

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Solution

The fourth proportional to 72,872.76, 100,608.14 and 47,766 is: 65,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,872.76 : 100,608.14 = 47,766 : x
  2. Step 2: Convert to fraction form
    72,872.76/100,608.14 = 47,766/x
  3. Step 3: Cross multiply
    72,872.76x = 100,608.14 × 47,766
  4. Step 4: Simplify right side
    72,872.76x = 4,805,648,415.24
  5. Step 5: Solve for x
    x = 4,805,648,415.24/72,872.76
  6. Step 6: Final answer
    x = 65,945.74

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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.