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Finding the Fourth Proportional to 71,102.84, 106,561.92 and 28,933.76

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Solution

The fourth proportional to 71,102.84, 106,561.92 and 28,933.76 is: 43,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,102.84 : 106,561.92 = 28,933.76 : x
  2. Step 2: Convert to fraction form
    71,102.84/106,561.92 = 28,933.76/x
  3. Step 3: Cross multiply
    71,102.84x = 106,561.92 × 28,933.76
  4. Step 4: Simplify right side
    71,102.84x = 3,083,237,018.42
  5. Step 5: Solve for x
    x = 3,083,237,018.42/71,102.84
  6. Step 6: Final answer
    x = 43,363.06

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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.