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Finding the Fourth Proportional to 212,533.92, 293,265.78 and 120,638.92

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Solution

The fourth proportional to 212,533.92, 293,265.78 and 120,638.92 is: 166,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,533.92 : 293,265.78 = 120,638.92 : x
  2. Step 2: Convert to fraction form
    212,533.92/293,265.78 = 120,638.92/x
  3. Step 3: Cross multiply
    212,533.92x = 293,265.78 × 120,638.92
  4. Step 4: Simplify right side
    212,533.92x = 35,379,266,972.16
  5. Step 5: Solve for x
    x = 35,379,266,972.16/212,533.92
  6. Step 6: Final answer
    x = 166,464.10

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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.