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Finding the Fourth Proportional to 212,356.64, 318,313.52 and 86,084.05

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Solution

The fourth proportional to 212,356.64, 318,313.52 and 86,084.05 is: 129,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,356.64 : 318,313.52 = 86,084.05 : x
  2. Step 2: Convert to fraction form
    212,356.64/318,313.52 = 86,084.05/x
  3. Step 3: Cross multiply
    212,356.64x = 318,313.52 × 86,084.05
  4. Step 4: Simplify right side
    212,356.64x = 27,401,715,379.79
  5. Step 5: Solve for x
    x = 27,401,715,379.79/212,356.64
  6. Step 6: Final answer
    x = 129,036.30

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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.