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Finding the Fourth Proportional to 212,785.72, 293,644.22 and 117,294.01

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Solution

The fourth proportional to 212,785.72, 293,644.22 and 117,294.01 is: 161,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,785.72 : 293,644.22 = 117,294.01 : x
  2. Step 2: Convert to fraction form
    212,785.72/293,644.22 = 117,294.01/x
  3. Step 3: Cross multiply
    212,785.72x = 293,644.22 × 117,294.01
  4. Step 4: Simplify right side
    212,785.72x = 34,442,708,077.12
  5. Step 5: Solve for x
    x = 34,442,708,077.12/212,785.72
  6. Step 6: Final answer
    x = 161,865.69

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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.