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Finding the Fourth Proportional to 158,022.69, 218,078.09 and 86,398.44

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Solution

The fourth proportional to 158,022.69, 218,078.09 and 86,398.44 is: 119,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,022.69 : 218,078.09 = 86,398.44 : x
  2. Step 2: Convert to fraction form
    158,022.69/218,078.09 = 86,398.44/x
  3. Step 3: Cross multiply
    158,022.69x = 218,078.09 × 86,398.44
  4. Step 4: Simplify right side
    158,022.69x = 18,841,606,774.18
  5. Step 5: Solve for x
    x = 18,841,606,774.18/158,022.69
  6. Step 6: Final answer
    x = 119,233.55

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1.5x scale

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.