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Finding the Fourth Proportional to 128,257.28, 192,424.80 and 61,678.52

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Solution

The fourth proportional to 128,257.28, 192,424.80 and 61,678.52 is: 92,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,257.28 : 192,424.80 = 61,678.52 : x
  2. Step 2: Convert to fraction form
    128,257.28/192,424.80 = 61,678.52/x
  3. Step 3: Cross multiply
    128,257.28x = 192,424.80 × 61,678.52
  4. Step 4: Simplify right side
    128,257.28x = 11,868,476,875.30
  5. Step 5: Solve for x
    x = 11,868,476,875.30/128,257.28
  6. Step 6: Final answer
    x = 92,536.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.