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Finding the Fourth Proportional to 203,569.29, 280,808.10 and 126,955.41

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Solution

The fourth proportional to 203,569.29, 280,808.10 and 126,955.41 is: 175,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,569.29 : 280,808.10 = 126,955.41 : x
  2. Step 2: Convert to fraction form
    203,569.29/280,808.10 = 126,955.41/x
  3. Step 3: Cross multiply
    203,569.29x = 280,808.10 × 126,955.41
  4. Step 4: Simplify right side
    203,569.29x = 35,650,107,466.82
  5. Step 5: Solve for x
    x = 35,650,107,466.82/203,569.29
  6. Step 6: Final answer
    x = 175,125.17

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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.