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Finding the Fourth Proportional to 75,678.90, 104,436.84 and 43,866.24

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Solution

The fourth proportional to 75,678.90, 104,436.84 and 43,866.24 is: 60,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678.90 : 104,436.84 = 43,866.24 : x
  2. Step 2: Convert to fraction form
    75,678.90/104,436.84 = 43,866.24/x
  3. Step 3: Cross multiply
    75,678.90x = 104,436.84 × 43,866.24
  4. Step 4: Simplify right side
    75,678.90x = 4,581,251,488.28
  5. Step 5: Solve for x
    x = 4,581,251,488.28/75,678.90
  6. Step 6: Final answer
    x = 60,535.39

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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.