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Finding the Fourth Proportional to 158,022, 218,070.36 and 86,402.58

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Solution

The fourth proportional to 158,022, 218,070.36 and 86,402.58 is: 119,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,022 : 218,070.36 = 86,402.58 : x
  2. Step 2: Convert to fraction form
    158,022/218,070.36 = 86,402.58/x
  3. Step 3: Cross multiply
    158,022x = 218,070.36 × 86,402.58
  4. Step 4: Simplify right side
    158,022x = 18,841,841,725.53
  5. Step 5: Solve for x
    x = 18,841,841,725.53/158,022
  6. Step 6: Final answer
    x = 119,235.56

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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.