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Finding the Fourth Proportional to 78,895.20, 108,878.12 and 44,908.80

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Solution

The fourth proportional to 78,895.20, 108,878.12 and 44,908.80 is: 61,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,895.20 : 108,878.12 = 44,908.80 : x
  2. Step 2: Convert to fraction form
    78,895.20/108,878.12 = 44,908.80/x
  3. Step 3: Cross multiply
    78,895.20x = 108,878.12 × 44,908.80
  4. Step 4: Simplify right side
    78,895.20x = 4,889,585,715.46
  5. Step 5: Solve for x
    x = 4,889,585,715.46/78,895.20
  6. Step 6: Final answer
    x = 61,975.71

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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.