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Finding the Fourth Proportional to 155,712.96, 214,884.16 and 88,644.96

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Solution

The fourth proportional to 155,712.96, 214,884.16 and 88,644.96 is: 122,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,712.96 : 214,884.16 = 88,644.96 : x
  2. Step 2: Convert to fraction form
    155,712.96/214,884.16 = 88,644.96/x
  3. Step 3: Cross multiply
    155,712.96x = 214,884.16 × 88,644.96
  4. Step 4: Simplify right side
    155,712.96x = 19,048,397,767.83
  5. Step 5: Solve for x
    x = 19,048,397,767.83/155,712.96
  6. Step 6: Final answer
    x = 122,330.20

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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.