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Finding the Fourth Proportional to 121,025.78, 181,524.09 and 42,133.40

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Solution

The fourth proportional to 121,025.78, 181,524.09 and 42,133.40 is: 63,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,025.78 : 181,524.09 = 42,133.40 : x
  2. Step 2: Convert to fraction form
    121,025.78/181,524.09 = 42,133.40/x
  3. Step 3: Cross multiply
    121,025.78x = 181,524.09 × 42,133.40
  4. Step 4: Simplify right side
    121,025.78x = 7,648,227,093.61
  5. Step 5: Solve for x
    x = 7,648,227,093.61/121,025.78
  6. Step 6: Final answer
    x = 63,195.02

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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.