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Finding the Fourth Proportional to 158,201.20, 218,317.76 and 86,581.20

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Solution

The fourth proportional to 158,201.20, 218,317.76 and 86,581.20 is: 119,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,201.20 : 218,317.76 = 86,581.20 : x
  2. Step 2: Convert to fraction form
    158,201.20/218,317.76 = 86,581.20/x
  3. Step 3: Cross multiply
    158,201.20x = 218,317.76 × 86,581.20
  4. Step 4: Simplify right side
    158,201.20x = 18,902,213,642.11
  5. Step 5: Solve for x
    x = 18,902,213,642.11/158,201.20
  6. Step 6: Final answer
    x = 119,482.11

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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.