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Finding the Fourth Proportional to 76,981.80, 115,511.10 and 43,727.40

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Solution

The fourth proportional to 76,981.80, 115,511.10 and 43,727.40 is: 65,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,981.80 : 115,511.10 = 43,727.40 : x
  2. Step 2: Convert to fraction form
    76,981.80/115,511.10 = 43,727.40/x
  3. Step 3: Cross multiply
    76,981.80x = 115,511.10 × 43,727.40
  4. Step 4: Simplify right side
    76,981.80x = 5,051,000,074.14
  5. Step 5: Solve for x
    x = 5,051,000,074.14/76,981.80
  6. Step 6: Final answer
    x = 65,612.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.