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Finding the Fourth Proportional to 78,198.21, 107,913.26 and 42,387.91

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Solution

The fourth proportional to 78,198.21, 107,913.26 and 42,387.91 is: 58,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.21 : 107,913.26 = 42,387.91 : x
  2. Step 2: Convert to fraction form
    78,198.21/107,913.26 = 42,387.91/x
  3. Step 3: Cross multiply
    78,198.21x = 107,913.26 × 42,387.91
  4. Step 4: Simplify right side
    78,198.21x = 4,574,217,388.87
  5. Step 5: Solve for x
    x = 4,574,217,388.87/78,198.21
  6. Step 6: Final answer
    x = 58,495.17

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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.