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Finding the Fourth Proportional to 78,314, 108,073.44 and 44,780.72

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Solution

The fourth proportional to 78,314, 108,073.44 and 44,780.72 is: 61,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,314 : 108,073.44 = 44,780.72 : x
  2. Step 2: Convert to fraction form
    78,314/108,073.44 = 44,780.72/x
  3. Step 3: Cross multiply
    78,314x = 108,073.44 × 44,780.72
  4. Step 4: Simplify right side
    78,314x = 4,839,606,456.08
  5. Step 5: Solve for x
    x = 4,839,606,456.08/78,314
  6. Step 6: Final answer
    x = 61,797.46

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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.