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Finding the Fourth Proportional to 218,879.20, 302,053.20 and 118,277.20

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Solution

The fourth proportional to 218,879.20, 302,053.20 and 118,277.20 is: 163,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,879.20 : 302,053.20 = 118,277.20 : x
  2. Step 2: Convert to fraction form
    218,879.20/302,053.20 = 118,277.20/x
  3. Step 3: Cross multiply
    218,879.20x = 302,053.20 × 118,277.20
  4. Step 4: Simplify right side
    218,879.20x = 35,726,006,747.04
  5. Step 5: Solve for x
    x = 35,726,006,747.04/218,879.20
  6. Step 6: Final answer
    x = 163,222.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.