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Finding the Fourth Proportional to 75,750.76, 104,539.62 and 42,217

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Solution

The fourth proportional to 75,750.76, 104,539.62 and 42,217 is: 58,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,750.76 : 104,539.62 = 42,217 : x
  2. Step 2: Convert to fraction form
    75,750.76/104,539.62 = 42,217/x
  3. Step 3: Cross multiply
    75,750.76x = 104,539.62 × 42,217
  4. Step 4: Simplify right side
    75,750.76x = 4,413,349,137.54
  5. Step 5: Solve for x
    x = 4,413,349,137.54/75,750.76
  6. Step 6: Final answer
    x = 58,261.45

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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.