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Finding the Fourth Proportional to 89,688.75, 123,770.48 and 51,984.87

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Solution

The fourth proportional to 89,688.75, 123,770.48 and 51,984.87 is: 71,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,688.75 : 123,770.48 = 51,984.87 : x
  2. Step 2: Convert to fraction form
    89,688.75/123,770.48 = 51,984.87/x
  3. Step 3: Cross multiply
    89,688.75x = 123,770.48 × 51,984.87
  4. Step 4: Simplify right side
    89,688.75x = 6,434,192,052.71
  5. Step 5: Solve for x
    x = 6,434,192,052.71/89,688.75
  6. Step 6: Final answer
    x = 71,739.12

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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.