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Finding the Fourth Proportional to 212,924.55, 319,379.84 and 86,527.29

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Solution

The fourth proportional to 212,924.55, 319,379.84 and 86,527.29 is: 129,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,924.55 : 319,379.84 = 86,527.29 : x
  2. Step 2: Convert to fraction form
    212,924.55/319,379.84 = 86,527.29/x
  3. Step 3: Cross multiply
    212,924.55x = 319,379.84 × 86,527.29
  4. Step 4: Simplify right side
    212,924.55x = 27,635,072,035.83
  5. Step 5: Solve for x
    x = 27,635,072,035.83/212,924.55
  6. Step 6: Final answer
    x = 129,788.10

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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.