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Finding the Fourth Proportional to 223,281.80, 308,132.37 and 121,309.28

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Solution

The fourth proportional to 223,281.80, 308,132.37 and 121,309.28 is: 167,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,281.80 : 308,132.37 = 121,309.28 : x
  2. Step 2: Convert to fraction form
    223,281.80/308,132.37 = 121,309.28/x
  3. Step 3: Cross multiply
    223,281.80x = 308,132.37 × 121,309.28
  4. Step 4: Simplify right side
    223,281.80x = 37,379,315,949.39
  5. Step 5: Solve for x
    x = 37,379,315,949.39/223,281.80
  6. Step 6: Final answer
    x = 167,408.70

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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.