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Finding the Fourth Proportional to 213,279.94, 319,800.84 and 134,224.75

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Solution

The fourth proportional to 213,279.94, 319,800.84 and 134,224.75 is: 201,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,279.94 : 319,800.84 = 134,224.75 : x
  2. Step 2: Convert to fraction form
    213,279.94/319,800.84 = 134,224.75/x
  3. Step 3: Cross multiply
    213,279.94x = 319,800.84 × 134,224.75
  4. Step 4: Simplify right side
    213,279.94x = 42,925,187,798.79
  5. Step 5: Solve for x
    x = 42,925,187,798.79/213,279.94
  6. Step 6: Final answer
    x = 201,262.19

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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.