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Finding the Fourth Proportional to 158,563.14, 218,815.44 and 86,942.94

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Solution

The fourth proportional to 158,563.14, 218,815.44 and 86,942.94 is: 119,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,563.14 : 218,815.44 = 86,942.94 : x
  2. Step 2: Convert to fraction form
    158,563.14/218,815.44 = 86,942.94/x
  3. Step 3: Cross multiply
    158,563.14x = 218,815.44 × 86,942.94
  4. Step 4: Simplify right side
    158,563.14x = 19,024,457,670.99
  5. Step 5: Solve for x
    x = 19,024,457,670.99/158,563.14
  6. Step 6: Final answer
    x = 119,980.33

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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.