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Finding the Fourth Proportional to 77,260.32, 115,773.84 and 49,500

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Solution

The fourth proportional to 77,260.32, 115,773.84 and 49,500 is: 74,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,260.32 : 115,773.84 = 49,500 : x
  2. Step 2: Convert to fraction form
    77,260.32/115,773.84 = 49,500/x
  3. Step 3: Cross multiply
    77,260.32x = 115,773.84 × 49,500
  4. Step 4: Simplify right side
    77,260.32x = 5,730,805,080
  5. Step 5: Solve for x
    x = 5,730,805,080/77,260.32
  6. Step 6: Final answer
    x = 74,175.27

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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.