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Finding the Fourth Proportional to 121,142.46, 181,738.02 and 42,235.50

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Solution

The fourth proportional to 121,142.46, 181,738.02 and 42,235.50 is: 63,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142.46 : 181,738.02 = 42,235.50 : x
  2. Step 2: Convert to fraction form
    121,142.46/181,738.02 = 42,235.50/x
  3. Step 3: Cross multiply
    121,142.46x = 181,738.02 × 42,235.50
  4. Step 4: Simplify right side
    121,142.46x = 7,675,796,143.71
  5. Step 5: Solve for x
    x = 7,675,796,143.71/121,142.46
  6. Step 6: Final answer
    x = 63,361.73

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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.