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Finding the Fourth Proportional to 155,914.33, 215,162.29 and 84,294.86

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Solution

The fourth proportional to 155,914.33, 215,162.29 and 84,294.86 is: 116,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,914.33 : 215,162.29 = 84,294.86 : x
  2. Step 2: Convert to fraction form
    155,914.33/215,162.29 = 84,294.86/x
  3. Step 3: Cross multiply
    155,914.33x = 215,162.29 × 84,294.86
  4. Step 4: Simplify right side
    155,914.33x = 18,137,074,785.66
  5. Step 5: Solve for x
    x = 18,137,074,785.66/155,914.33
  6. Step 6: Final answer
    x = 116,327.18

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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.