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Finding the Fourth Proportional to 75,838.78, 104,657.52 and 42,304.78

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Solution

The fourth proportional to 75,838.78, 104,657.52 and 42,304.78 is: 58,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,838.78 : 104,657.52 = 42,304.78 : x
  2. Step 2: Convert to fraction form
    75,838.78/104,657.52 = 42,304.78/x
  3. Step 3: Cross multiply
    75,838.78x = 104,657.52 × 42,304.78
  4. Step 4: Simplify right side
    75,838.78x = 4,427,513,410.45
  5. Step 5: Solve for x
    x = 4,427,513,410.45/75,838.78
  6. Step 6: Final answer
    x = 58,380.60

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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.