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Finding the Fourth Proportional to 212,855.68, 293,735.12 and 117,360.72

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Solution

The fourth proportional to 212,855.68, 293,735.12 and 117,360.72 is: 161,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,855.68 : 293,735.12 = 117,360.72 : x
  2. Step 2: Convert to fraction form
    212,855.68/293,735.12 = 117,360.72/x
  3. Step 3: Cross multiply
    212,855.68x = 293,735.12 × 117,360.72
  4. Step 4: Simplify right side
    212,855.68x = 34,472,965,172.49
  5. Step 5: Solve for x
    x = 34,472,965,172.49/212,855.68
  6. Step 6: Final answer
    x = 161,954.64

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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.