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Finding the Fourth Proportional to 212,817.89, 319,320.86 and 111,591.77

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Solution

The fourth proportional to 212,817.89, 319,320.86 and 111,591.77 is: 167,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,817.89 : 319,320.86 = 111,591.77 : x
  2. Step 2: Convert to fraction form
    212,817.89/319,320.86 = 111,591.77/x
  3. Step 3: Cross multiply
    212,817.89x = 319,320.86 × 111,591.77
  4. Step 4: Simplify right side
    212,817.89x = 35,633,577,810.76
  5. Step 5: Solve for x
    x = 35,633,577,810.76/212,817.89
  6. Step 6: Final answer
    x = 167,436.95

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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.