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Finding the Fourth Proportional to 127,244.76, 190,865.92 and 77,338.64

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Solution

The fourth proportional to 127,244.76, 190,865.92 and 77,338.64 is: 116,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,244.76 : 190,865.92 = 77,338.64 : x
  2. Step 2: Convert to fraction form
    127,244.76/190,865.92 = 77,338.64/x
  3. Step 3: Cross multiply
    127,244.76x = 190,865.92 × 77,338.64
  4. Step 4: Simplify right side
    127,244.76x = 14,761,310,675.15
  5. Step 5: Solve for x
    x = 14,761,310,675.15/127,244.76
  6. Step 6: Final answer
    x = 116,007.22

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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.