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Finding the Fourth Proportional to 61,050, 91,991.01 and 50,199.76

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Solution

The fourth proportional to 61,050, 91,991.01 and 50,199.76 is: 75,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,050 : 91,991.01 = 50,199.76 : x
  2. Step 2: Convert to fraction form
    61,050/91,991.01 = 50,199.76/x
  3. Step 3: Cross multiply
    61,050x = 91,991.01 × 50,199.76
  4. Step 4: Simplify right side
    61,050x = 4,617,926,624.16
  5. Step 5: Solve for x
    x = 4,617,926,624.16/61,050
  6. Step 6: Final answer
    x = 75,641.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.