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Finding the Fourth Proportional to 78,418.69, 108,218.06 and 44,433.47

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Solution

The fourth proportional to 78,418.69, 108,218.06 and 44,433.47 is: 61,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,418.69 : 108,218.06 = 44,433.47 : x
  2. Step 2: Convert to fraction form
    78,418.69/108,218.06 = 44,433.47/x
  3. Step 3: Cross multiply
    78,418.69x = 108,218.06 × 44,433.47
  4. Step 4: Simplify right side
    78,418.69x = 4,808,503,922.47
  5. Step 5: Solve for x
    x = 4,808,503,922.47/78,418.69
  6. Step 6: Final answer
    x = 61,318.34

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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.