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Finding the Fourth Proportional to 72,977.76, 100,709.30 and 39,443.76

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Solution

The fourth proportional to 72,977.76, 100,709.30 and 39,443.76 is: 54,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,977.76 : 100,709.30 = 39,443.76 : x
  2. Step 2: Convert to fraction form
    72,977.76/100,709.30 = 39,443.76/x
  3. Step 3: Cross multiply
    72,977.76x = 100,709.30 × 39,443.76
  4. Step 4: Simplify right side
    72,977.76x = 3,972,353,458.97
  5. Step 5: Solve for x
    x = 3,972,353,458.97/72,977.76
  6. Step 6: Final answer
    x = 54,432.38

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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.