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Finding the Fourth Proportional to 212,815.69, 319,317.57 and 111,589.57

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Solution

The fourth proportional to 212,815.69, 319,317.57 and 111,589.57 is: 167,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,815.69 : 319,317.57 = 111,589.57 : x
  2. Step 2: Convert to fraction form
    212,815.69/319,317.57 = 111,589.57/x
  3. Step 3: Cross multiply
    212,815.69x = 319,317.57 × 111,589.57
  4. Step 4: Simplify right side
    212,815.69x = 35,632,510,329.74
  5. Step 5: Solve for x
    x = 35,632,510,329.74/212,815.69
  6. Step 6: Final answer
    x = 167,433.66

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1.5x scale

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.