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Finding the Fourth Proportional to 210,212.52, 290,093.24 and 134,761

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Solution

The fourth proportional to 210,212.52, 290,093.24 and 134,761 is: 185,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,212.52 : 290,093.24 = 134,761 : x
  2. Step 2: Convert to fraction form
    210,212.52/290,093.24 = 134,761/x
  3. Step 3: Cross multiply
    210,212.52x = 290,093.24 × 134,761
  4. Step 4: Simplify right side
    210,212.52x = 39,093,255,115.64
  5. Step 5: Solve for x
    x = 39,093,255,115.64/210,212.52
  6. Step 6: Final answer
    x = 185,970.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.