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Finding the Fourth Proportional to 121,380.70, 181,973.85 and 51,202.30

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Solution

The fourth proportional to 121,380.70, 181,973.85 and 51,202.30 is: 76,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,380.70 : 181,973.85 = 51,202.30 : x
  2. Step 2: Convert to fraction form
    121,380.70/181,973.85 = 51,202.30/x
  3. Step 3: Cross multiply
    121,380.70x = 181,973.85 × 51,202.30
  4. Step 4: Simplify right side
    121,380.70x = 9,317,479,659.86
  5. Step 5: Solve for x
    x = 9,317,479,659.86/121,380.70
  6. Step 6: Final answer
    x = 76,762.45

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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.