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Finding the Fourth Proportional to 77,841.84, 116,688 and 49,682.40

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Solution

The fourth proportional to 77,841.84, 116,688 and 49,682.40 is: 74,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,841.84 : 116,688 = 49,682.40 : x
  2. Step 2: Convert to fraction form
    77,841.84/116,688 = 49,682.40/x
  3. Step 3: Cross multiply
    77,841.84x = 116,688 × 49,682.40
  4. Step 4: Simplify right side
    77,841.84x = 5,797,339,891.20
  5. Step 5: Solve for x
    x = 5,797,339,891.20/77,841.84
  6. Step 6: Final answer
    x = 74,475.88

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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.