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Finding the Fourth Proportional to 218,624.54, 301,711.23 and 121,828.52

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Solution

The fourth proportional to 218,624.54, 301,711.23 and 121,828.52 is: 168,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,624.54 : 301,711.23 = 121,828.52 : x
  2. Step 2: Convert to fraction form
    218,624.54/301,711.23 = 121,828.52/x
  3. Step 3: Cross multiply
    218,624.54x = 301,711.23 × 121,828.52
  4. Step 4: Simplify right side
    218,624.54x = 36,757,034,008.98
  5. Step 5: Solve for x
    x = 36,757,034,008.98/218,624.54
  6. Step 6: Final answer
    x = 168,128.58

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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.