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Finding the Fourth Proportional to 223,329.48, 308,178.72 and 127,834.80

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Solution

The fourth proportional to 223,329.48, 308,178.72 and 127,834.80 is: 176,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,329.48 : 308,178.72 = 127,834.80 : x
  2. Step 2: Convert to fraction form
    223,329.48/308,178.72 = 127,834.80/x
  3. Step 3: Cross multiply
    223,329.48x = 308,178.72 × 127,834.80
  4. Step 4: Simplify right side
    223,329.48x = 39,395,965,035.46
  5. Step 5: Solve for x
    x = 39,395,965,035.46/223,329.48
  6. Step 6: Final answer
    x = 176,402.89

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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.