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Finding the Fourth Proportional to 212,950.56, 319,110.27 and 86,436.87

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Solution

The fourth proportional to 212,950.56, 319,110.27 and 86,436.87 is: 129,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,950.56 : 319,110.27 = 86,436.87 : x
  2. Step 2: Convert to fraction form
    212,950.56/319,110.27 = 86,436.87/x
  3. Step 3: Cross multiply
    212,950.56x = 319,110.27 × 86,436.87
  4. Step 4: Simplify right side
    212,950.56x = 27,582,891,402.85
  5. Step 5: Solve for x
    x = 27,582,891,402.85/212,950.56
  6. Step 6: Final answer
    x = 129,527.21

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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.