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Finding the Fourth Proportional to 212,471.34, 318,752.49 and 86,110.14

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Solution

The fourth proportional to 212,471.34, 318,752.49 and 86,110.14 is: 129,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,471.34 : 318,752.49 = 86,110.14 : x
  2. Step 2: Convert to fraction form
    212,471.34/318,752.49 = 86,110.14/x
  3. Step 3: Cross multiply
    212,471.34x = 318,752.49 × 86,110.14
  4. Step 4: Simplify right side
    212,471.34x = 27,447,821,539.25
  5. Step 5: Solve for x
    x = 27,447,821,539.25/212,471.34
  6. Step 6: Final answer
    x = 129,183.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.