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Finding the Fourth Proportional to 155,764, 214,954.32 and 88,708.96

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Solution

The fourth proportional to 155,764, 214,954.32 and 88,708.96 is: 122,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,764 : 214,954.32 = 88,708.96 : x
  2. Step 2: Convert to fraction form
    155,764/214,954.32 = 88,708.96/x
  3. Step 3: Cross multiply
    155,764x = 214,954.32 × 88,708.96
  4. Step 4: Simplify right side
    155,764x = 19,068,374,174.71
  5. Step 5: Solve for x
    x = 19,068,374,174.71/155,764
  6. Step 6: Final answer
    x = 122,418.36

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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.