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Finding the Fourth Proportional to 72,977.84, 100,709.36 and 39,443.84

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Solution

The fourth proportional to 72,977.84, 100,709.36 and 39,443.84 is: 54,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,977.84 : 100,709.36 = 39,443.84 : x
  2. Step 2: Convert to fraction form
    72,977.84/100,709.36 = 39,443.84/x
  3. Step 3: Cross multiply
    72,977.84x = 100,709.36 × 39,443.84
  4. Step 4: Simplify right side
    72,977.84x = 3,972,363,882.34
  5. Step 5: Solve for x
    x = 3,972,363,882.34/72,977.84
  6. Step 6: Final answer
    x = 54,432.47

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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.