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Finding the Fourth Proportional to 155,781.83, 214,978.66 and 84,161.63

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Solution

The fourth proportional to 155,781.83, 214,978.66 and 84,161.63 is: 116,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,781.83 : 214,978.66 = 84,161.63 : x
  2. Step 2: Convert to fraction form
    155,781.83/214,978.66 = 84,161.63/x
  3. Step 3: Cross multiply
    155,781.83x = 214,978.66 × 84,161.63
  4. Step 4: Simplify right side
    155,781.83x = 18,092,954,767.86
  5. Step 5: Solve for x
    x = 18,092,954,767.86/155,781.83
  6. Step 6: Final answer
    x = 116,142.91

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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.