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Finding the Fourth Proportional to 194,026.86, 291,101.04 and 123,390

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Solution

The fourth proportional to 194,026.86, 291,101.04 and 123,390 is: 185,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,026.86 : 291,101.04 = 123,390 : x
  2. Step 2: Convert to fraction form
    194,026.86/291,101.04 = 123,390/x
  3. Step 3: Cross multiply
    194,026.86x = 291,101.04 × 123,390
  4. Step 4: Simplify right side
    194,026.86x = 35,918,957,325.60
  5. Step 5: Solve for x
    x = 35,918,957,325.60/194,026.86
  6. Step 6: Final answer
    x = 185,123.63

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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.