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Finding the Fourth Proportional to 218,508.74, 301,541.19 and 123,015.62

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Solution

The fourth proportional to 218,508.74, 301,541.19 and 123,015.62 is: 169,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,508.74 : 301,541.19 = 123,015.62 : x
  2. Step 2: Convert to fraction form
    218,508.74/301,541.19 = 123,015.62/x
  3. Step 3: Cross multiply
    218,508.74x = 301,541.19 × 123,015.62
  4. Step 4: Simplify right side
    218,508.74x = 37,094,276,443.39
  5. Step 5: Solve for x
    x = 37,094,276,443.39/218,508.74
  6. Step 6: Final answer
    x = 169,761.07

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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.