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Finding the Fourth Proportional to 212,610, 319,111.82 and 107,502.78

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Solution

The fourth proportional to 212,610, 319,111.82 and 107,502.78 is: 161,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,610 : 319,111.82 = 107,502.78 : x
  2. Step 2: Convert to fraction form
    212,610/319,111.82 = 107,502.78/x
  3. Step 3: Cross multiply
    212,610x = 319,111.82 × 107,502.78
  4. Step 4: Simplify right side
    212,610x = 34,305,407,780.86
  5. Step 5: Solve for x
    x = 34,305,407,780.86/212,610
  6. Step 6: Final answer
    x = 161,353.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.