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Finding the Fourth Proportional to 75,856, 104,681.28 and 42,322

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Solution

The fourth proportional to 75,856, 104,681.28 and 42,322 is: 58,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,856 : 104,681.28 = 42,322 : x
  2. Step 2: Convert to fraction form
    75,856/104,681.28 = 42,322/x
  3. Step 3: Cross multiply
    75,856x = 104,681.28 × 42,322
  4. Step 4: Simplify right side
    75,856x = 4,430,321,132.16
  5. Step 5: Solve for x
    x = 4,430,321,132.16/75,856
  6. Step 6: Final answer
    x = 58,404.36

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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.