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Finding the Fourth Proportional to 126,357.84, 174,371.54 and 69,768

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Solution

The fourth proportional to 126,357.84, 174,371.54 and 69,768 is: 96,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,357.84 : 174,371.54 = 69,768 : x
  2. Step 2: Convert to fraction form
    126,357.84/174,371.54 = 69,768/x
  3. Step 3: Cross multiply
    126,357.84x = 174,371.54 × 69,768
  4. Step 4: Simplify right side
    126,357.84x = 12,165,553,253.88
  5. Step 5: Solve for x
    x = 12,165,553,253.88/126,357.84
  6. Step 6: Final answer
    x = 96,278.58

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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.