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Finding the Fourth Proportional to 77,900.92, 107,511.30 and 47,706.28

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Solution

The fourth proportional to 77,900.92, 107,511.30 and 47,706.28 is: 65,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,900.92 : 107,511.30 = 47,706.28 : x
  2. Step 2: Convert to fraction form
    77,900.92/107,511.30 = 47,706.28/x
  3. Step 3: Cross multiply
    77,900.92x = 107,511.30 × 47,706.28
  4. Step 4: Simplify right side
    77,900.92x = 5,128,964,180.96
  5. Step 5: Solve for x
    x = 5,128,964,180.96/77,900.92
  6. Step 6: Final answer
    x = 65,839.58

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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.