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Finding the Fourth Proportional to 214,581.69, 296,092.44 and 128,520.51

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Solution

The fourth proportional to 214,581.69, 296,092.44 and 128,520.51 is: 177,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,581.69 : 296,092.44 = 128,520.51 : x
  2. Step 2: Convert to fraction form
    214,581.69/296,092.44 = 128,520.51/x
  3. Step 3: Cross multiply
    214,581.69x = 296,092.44 × 128,520.51
  4. Step 4: Simplify right side
    214,581.69x = 38,053,951,395.94
  5. Step 5: Solve for x
    x = 38,053,951,395.94/214,581.69
  6. Step 6: Final answer
    x = 177,340.16

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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.