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Finding the Fourth Proportional to 78,005.35, 107,639.49 and 45,288.44

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Solution

The fourth proportional to 78,005.35, 107,639.49 and 45,288.44 is: 62,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.35 : 107,639.49 = 45,288.44 : x
  2. Step 2: Convert to fraction form
    78,005.35/107,639.49 = 45,288.44/x
  3. Step 3: Cross multiply
    78,005.35x = 107,639.49 × 45,288.44
  4. Step 4: Simplify right side
    78,005.35x = 4,874,824,619.78
  5. Step 5: Solve for x
    x = 4,874,824,619.78/78,005.35
  6. Step 6: Final answer
    x = 62,493.46

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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.