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Finding the Fourth Proportional to 212,883.34, 293,768.20 and 121,000.22

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Solution

The fourth proportional to 212,883.34, 293,768.20 and 121,000.22 is: 166,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,883.34 : 293,768.20 = 121,000.22 : x
  2. Step 2: Convert to fraction form
    212,883.34/293,768.20 = 121,000.22/x
  3. Step 3: Cross multiply
    212,883.34x = 293,768.20 × 121,000.22
  4. Step 4: Simplify right side
    212,883.34x = 35,546,016,829.00
  5. Step 5: Solve for x
    x = 35,546,016,829.00/212,883.34
  6. Step 6: Final answer
    x = 166,974.16

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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.