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Finding the Fourth Proportional to 221,569.92, 305,798.76 and 126,100.08

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Solution

The fourth proportional to 221,569.92, 305,798.76 and 126,100.08 is: 174,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,569.92 : 305,798.76 = 126,100.08 : x
  2. Step 2: Convert to fraction form
    221,569.92/305,798.76 = 126,100.08/x
  3. Step 3: Cross multiply
    221,569.92x = 305,798.76 × 126,100.08
  4. Step 4: Simplify right side
    221,569.92x = 38,561,248,099.90
  5. Step 5: Solve for x
    x = 38,561,248,099.90/221,569.92
  6. Step 6: Final answer
    x = 174,036.48

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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.