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Finding the Fourth Proportional to 155,234, 214,223.20 and 88,166

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Solution

The fourth proportional to 155,234, 214,223.20 and 88,166 is: 121,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,234 : 214,223.20 = 88,166 : x
  2. Step 2: Convert to fraction form
    155,234/214,223.20 = 88,166/x
  3. Step 3: Cross multiply
    155,234x = 214,223.20 × 88,166
  4. Step 4: Simplify right side
    155,234x = 18,887,202,651.20
  5. Step 5: Solve for x
    x = 18,887,202,651.20/155,234
  6. Step 6: Final answer
    x = 121,669.24

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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.