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Finding the Fourth Proportional to 98,221.50, 135,545.67 and 53,509.50

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Solution

The fourth proportional to 98,221.50, 135,545.67 and 53,509.50 is: 73,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,221.50 : 135,545.67 = 53,509.50 : x
  2. Step 2: Convert to fraction form
    98,221.50/135,545.67 = 53,509.50/x
  3. Step 3: Cross multiply
    98,221.50x = 135,545.67 × 53,509.50
  4. Step 4: Simplify right side
    98,221.50x = 7,252,981,028.87
  5. Step 5: Solve for x
    x = 7,252,981,028.87/98,221.50
  6. Step 6: Final answer
    x = 73,843.11

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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.