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Finding the Fourth Proportional to 212,147.64, 292,771.28 and 116,661.60

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Solution

The fourth proportional to 212,147.64, 292,771.28 and 116,661.60 is: 160,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,147.64 : 292,771.28 = 116,661.60 : x
  2. Step 2: Convert to fraction form
    212,147.64/292,771.28 = 116,661.60/x
  3. Step 3: Cross multiply
    212,147.64x = 292,771.28 × 116,661.60
  4. Step 4: Simplify right side
    212,147.64x = 34,155,165,375.54
  5. Step 5: Solve for x
    x = 34,155,165,375.54/212,147.64
  6. Step 6: Final answer
    x = 160,997.15

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1.5x scale

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.