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Finding the Fourth Proportional to 212,370.89, 293,065.92 and 120,506.90

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Solution

The fourth proportional to 212,370.89, 293,065.92 and 120,506.90 is: 166,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,370.89 : 293,065.92 = 120,506.90 : x
  2. Step 2: Convert to fraction form
    212,370.89/293,065.92 = 120,506.90/x
  3. Step 3: Cross multiply
    212,370.89x = 293,065.92 × 120,506.90
  4. Step 4: Simplify right side
    212,370.89x = 35,316,464,049.52
  5. Step 5: Solve for x
    x = 35,316,464,049.52/212,370.89
  6. Step 6: Final answer
    x = 166,296.17

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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.