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Finding the Fourth Proportional to 143,149.71, 214,657.91 and 53,129.73

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Solution

The fourth proportional to 143,149.71, 214,657.91 and 53,129.73 is: 79,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,149.71 : 214,657.91 = 53,129.73 : x
  2. Step 2: Convert to fraction form
    143,149.71/214,657.91 = 53,129.73/x
  3. Step 3: Cross multiply
    143,149.71x = 214,657.91 × 53,129.73
  4. Step 4: Simplify right side
    143,149.71x = 11,404,716,535.02
  5. Step 5: Solve for x
    x = 11,404,716,535.02/143,149.71
  6. Step 6: Final answer
    x = 79,669.85

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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.