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Finding the Fourth Proportional to 147,350.25, 221,025.38 and 53,856

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Solution

The fourth proportional to 147,350.25, 221,025.38 and 53,856 is: 80,784

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,350.25 : 221,025.38 = 53,856 : x
  2. Step 2: Convert to fraction form
    147,350.25/221,025.38 = 53,856/x
  3. Step 3: Cross multiply
    147,350.25x = 221,025.38 × 53,856
  4. Step 4: Simplify right side
    147,350.25x = 11,903,542,596
  5. Step 5: Solve for x
    x = 11,903,542,596/147,350.25
  6. Step 6: Final answer
    x = 80,784

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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.