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Finding the Fourth Proportional to 99,209.82, 148,912.74 and 51,871.80

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Solution

The fourth proportional to 99,209.82, 148,912.74 and 51,871.80 is: 77,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,209.82 : 148,912.74 = 51,871.80 : x
  2. Step 2: Convert to fraction form
    99,209.82/148,912.74 = 51,871.80/x
  3. Step 3: Cross multiply
    99,209.82x = 148,912.74 × 51,871.80
  4. Step 4: Simplify right side
    99,209.82x = 7,724,371,866.73
  5. Step 5: Solve for x
    x = 7,724,371,866.73/99,209.82
  6. Step 6: Final answer
    x = 77,858.94

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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.