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Finding the Fourth Proportional to 77,511.65, 106,977.78 and 47,314.58

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Solution

The fourth proportional to 77,511.65, 106,977.78 and 47,314.58 is: 65,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,511.65 : 106,977.78 = 47,314.58 : x
  2. Step 2: Convert to fraction form
    77,511.65/106,977.78 = 47,314.58/x
  3. Step 3: Cross multiply
    77,511.65x = 106,977.78 × 47,314.58
  4. Step 4: Simplify right side
    77,511.65x = 5,061,608,195.14
  5. Step 5: Solve for x
    x = 5,061,608,195.14/77,511.65
  6. Step 6: Final answer
    x = 65,301.26

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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.