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Finding the Fourth Proportional to 212,868.68, 293,758.48 and 117,375.60

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Solution

The fourth proportional to 212,868.68, 293,758.48 and 117,375.60 is: 161,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,868.68 : 293,758.48 = 117,375.60 : x
  2. Step 2: Convert to fraction form
    212,868.68/293,758.48 = 117,375.60/x
  3. Step 3: Cross multiply
    212,868.68x = 293,758.48 × 117,375.60
  4. Step 4: Simplify right side
    212,868.68x = 34,480,077,845.09
  5. Step 5: Solve for x
    x = 34,480,077,845.09/212,868.68
  6. Step 6: Final answer
    x = 161,978.16

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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.