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Finding the Fourth Proportional to 89,493.15, 123,503.73 and 51,259.53

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Solution

The fourth proportional to 89,493.15, 123,503.73 and 51,259.53 is: 70,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,493.15 : 123,503.73 = 51,259.53 : x
  2. Step 2: Convert to fraction form
    89,493.15/123,503.73 = 51,259.53/x
  3. Step 3: Cross multiply
    89,493.15x = 123,503.73 × 51,259.53
  4. Step 4: Simplify right side
    89,493.15x = 6,330,743,153.05
  5. Step 5: Solve for x
    x = 6,330,743,153.05/89,493.15
  6. Step 6: Final answer
    x = 70,739.97

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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.