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Finding the Fourth Proportional to 64,871.76, 89,521.24 and 36,577.20

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Solution

The fourth proportional to 64,871.76, 89,521.24 and 36,577.20 is: 50,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,871.76 : 89,521.24 = 36,577.20 : x
  2. Step 2: Convert to fraction form
    64,871.76/89,521.24 = 36,577.20/x
  3. Step 3: Cross multiply
    64,871.76x = 89,521.24 × 36,577.20
  4. Step 4: Simplify right side
    64,871.76x = 3,274,436,299.73
  5. Step 5: Solve for x
    x = 3,274,436,299.73/64,871.76
  6. Step 6: Final answer
    x = 50,475.53

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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.