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Finding the Fourth Proportional to 212,889.92, 293,784 and 117,405.44

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Solution

The fourth proportional to 212,889.92, 293,784 and 117,405.44 is: 162,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,889.92 : 293,784 = 117,405.44 : x
  2. Step 2: Convert to fraction form
    212,889.92/293,784 = 117,405.44/x
  3. Step 3: Cross multiply
    212,889.92x = 293,784 × 117,405.44
  4. Step 4: Simplify right side
    212,889.92x = 34,491,839,784.96
  5. Step 5: Solve for x
    x = 34,491,839,784.96/212,889.92
  6. Step 6: Final answer
    x = 162,017.25

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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.