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Finding the Fourth Proportional to 158,537.66, 218,781.91 and 86,916.14

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Solution

The fourth proportional to 158,537.66, 218,781.91 and 86,916.14 is: 119,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,537.66 : 218,781.91 = 86,916.14 : x
  2. Step 2: Convert to fraction form
    158,537.66/218,781.91 = 86,916.14/x
  3. Step 3: Cross multiply
    158,537.66x = 218,781.91 × 86,916.14
  4. Step 4: Simplify right side
    158,537.66x = 19,015,678,954.20
  5. Step 5: Solve for x
    x = 19,015,678,954.20/158,537.66
  6. Step 6: Final answer
    x = 119,944.24

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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.