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Finding the Fourth Proportional to 57,770.76, 86,669.10 and 18,329.16

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Solution

The fourth proportional to 57,770.76, 86,669.10 and 18,329.16 is: 27,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,770.76 : 86,669.10 = 18,329.16 : x
  2. Step 2: Convert to fraction form
    57,770.76/86,669.10 = 18,329.16/x
  3. Step 3: Cross multiply
    57,770.76x = 86,669.10 × 18,329.16
  4. Step 4: Simplify right side
    57,770.76x = 1,588,571,800.96
  5. Step 5: Solve for x
    x = 1,588,571,800.96/57,770.76
  6. Step 6: Final answer
    x = 27,497.85

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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.