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Finding the Fourth Proportional to 212,085, 292,679.10 and 116,589.60

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Solution

The fourth proportional to 212,085, 292,679.10 and 116,589.60 is: 160,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,085 : 292,679.10 = 116,589.60 : x
  2. Step 2: Convert to fraction form
    212,085/292,679.10 = 116,589.60/x
  3. Step 3: Cross multiply
    212,085x = 292,679.10 × 116,589.60
  4. Step 4: Simplify right side
    212,085x = 34,123,339,197.36
  5. Step 5: Solve for x
    x = 34,123,339,197.36/212,085
  6. Step 6: Final answer
    x = 160,894.64

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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.