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Finding the Fourth Proportional to 75,878.28, 104,715.30 and 42,344.28

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Solution

The fourth proportional to 75,878.28, 104,715.30 and 42,344.28 is: 58,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.28 : 104,715.30 = 42,344.28 : x
  2. Step 2: Convert to fraction form
    75,878.28/104,715.30 = 42,344.28/x
  3. Step 3: Cross multiply
    75,878.28x = 104,715.30 × 42,344.28
  4. Step 4: Simplify right side
    75,878.28x = 4,434,093,983.48
  5. Step 5: Solve for x
    x = 4,434,093,983.48/75,878.28
  6. Step 6: Final answer
    x = 58,436.93

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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.