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Finding the Fourth Proportional to 120,838, 181,295.52 and 50,698.48

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Solution

The fourth proportional to 120,838, 181,295.52 and 50,698.48 is: 76,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,838 : 181,295.52 = 50,698.48 : x
  2. Step 2: Convert to fraction form
    120,838/181,295.52 = 50,698.48/x
  3. Step 3: Cross multiply
    120,838x = 181,295.52 × 50,698.48
  4. Step 4: Simplify right side
    120,838x = 9,191,407,294.81
  5. Step 5: Solve for x
    x = 9,191,407,294.81/120,838
  6. Step 6: Final answer
    x = 76,063.88

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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.