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Finding the Fourth Proportional to 121,149.78, 181,724.63 and 32,400.98

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Solution

The fourth proportional to 121,149.78, 181,724.63 and 32,400.98 is: 48,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,149.78 : 181,724.63 = 32,400.98 : x
  2. Step 2: Convert to fraction form
    121,149.78/181,724.63 = 32,400.98/x
  3. Step 3: Cross multiply
    121,149.78x = 181,724.63 × 32,400.98
  4. Step 4: Simplify right side
    121,149.78x = 5,888,056,637.45
  5. Step 5: Solve for x
    x = 5,888,056,637.45/121,149.78
  6. Step 6: Final answer
    x = 48,601.46

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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.