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Finding the Fourth Proportional to 212,794.47, 319,179.40 and 77,949.52

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Solution

The fourth proportional to 212,794.47, 319,179.40 and 77,949.52 is: 116,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,794.47 : 319,179.40 = 77,949.52 : x
  2. Step 2: Convert to fraction form
    212,794.47/319,179.40 = 77,949.52/x
  3. Step 3: Cross multiply
    212,794.47x = 319,179.40 × 77,949.52
  4. Step 4: Simplify right side
    212,794.47x = 24,879,881,023.89
  5. Step 5: Solve for x
    x = 24,879,881,023.89/212,794.47
  6. Step 6: Final answer
    x = 116,919.77

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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.