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Finding the Fourth Proportional to 78,515, 108,351.78 and 44,981

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Solution

The fourth proportional to 78,515, 108,351.78 and 44,981 is: 62,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,515 : 108,351.78 = 44,981 : x
  2. Step 2: Convert to fraction form
    78,515/108,351.78 = 44,981/x
  3. Step 3: Cross multiply
    78,515x = 108,351.78 × 44,981
  4. Step 4: Simplify right side
    78,515x = 4,873,771,416.18
  5. Step 5: Solve for x
    x = 4,873,771,416.18/78,515
  6. Step 6: Final answer
    x = 62,074.40

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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.