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Finding the Fourth Proportional to 212,678.65, 319,049.49 and 68,536.16

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Solution

The fourth proportional to 212,678.65, 319,049.49 and 68,536.16 is: 102,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,678.65 : 319,049.49 = 68,536.16 : x
  2. Step 2: Convert to fraction form
    212,678.65/319,049.49 = 68,536.16/x
  3. Step 3: Cross multiply
    212,678.65x = 319,049.49 × 68,536.16
  4. Step 4: Simplify right side
    212,678.65x = 21,866,426,894.56
  5. Step 5: Solve for x
    x = 21,866,426,894.56/212,678.65
  6. Step 6: Final answer
    x = 102,814.40

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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.