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Finding the Fourth Proportional to 158,235.74, 218,365.37 and 86,617.29

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Solution

The fourth proportional to 158,235.74, 218,365.37 and 86,617.29 is: 119,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,235.74 : 218,365.37 = 86,617.29 : x
  2. Step 2: Convert to fraction form
    158,235.74/218,365.37 = 86,617.29/x
  3. Step 3: Cross multiply
    158,235.74x = 218,365.37 × 86,617.29
  4. Step 4: Simplify right side
    158,235.74x = 18,914,216,579.25
  5. Step 5: Solve for x
    x = 18,914,216,579.25/158,235.74
  6. Step 6: Final answer
    x = 119,531.89

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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.