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Finding the Fourth Proportional to 212,225, 292,912.11 and 121,641.69

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Solution

The fourth proportional to 212,225, 292,912.11 and 121,641.69 is: 167,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,225 : 292,912.11 = 121,641.69 : x
  2. Step 2: Convert to fraction form
    212,225/292,912.11 = 121,641.69/x
  3. Step 3: Cross multiply
    212,225x = 292,912.11 × 121,641.69
  4. Step 4: Simplify right side
    212,225x = 35,630,323,473.66
  5. Step 5: Solve for x
    x = 35,630,323,473.66/212,225
  6. Step 6: Final answer
    x = 167,889.38

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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.