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Finding the Fourth Proportional to 143,255.22, 214,809 and 64,301.77

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Solution

The fourth proportional to 143,255.22, 214,809 and 64,301.77 is: 96,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,255.22 : 214,809 = 64,301.77 : x
  2. Step 2: Convert to fraction form
    143,255.22/214,809 = 64,301.77/x
  3. Step 3: Cross multiply
    143,255.22x = 214,809 × 64,301.77
  4. Step 4: Simplify right side
    143,255.22x = 13,812,598,911.93
  5. Step 5: Solve for x
    x = 13,812,598,911.93/143,255.22
  6. Step 6: Final answer
    x = 96,419.52

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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.