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Finding the Fourth Proportional to 143,302.86, 214,903.26 and 54,532.80

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Solution

The fourth proportional to 143,302.86, 214,903.26 and 54,532.80 is: 81,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,302.86 : 214,903.26 = 54,532.80 : x
  2. Step 2: Convert to fraction form
    143,302.86/214,903.26 = 54,532.80/x
  3. Step 3: Cross multiply
    143,302.86x = 214,903.26 × 54,532.80
  4. Step 4: Simplify right side
    143,302.86x = 11,719,276,496.93
  5. Step 5: Solve for x
    x = 11,719,276,496.93/143,302.86
  6. Step 6: Final answer
    x = 81,779.78

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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.