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Finding the Fourth Proportional to 127,457.82, 175,844.79 and 77,138.46

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Solution

The fourth proportional to 127,457.82, 175,844.79 and 77,138.46 is: 106,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,457.82 : 175,844.79 = 77,138.46 : x
  2. Step 2: Convert to fraction form
    127,457.82/175,844.79 = 77,138.46/x
  3. Step 3: Cross multiply
    127,457.82x = 175,844.79 × 77,138.46
  4. Step 4: Simplify right side
    127,457.82x = 13,564,396,299.62
  5. Step 5: Solve for x
    x = 13,564,396,299.62/127,457.82
  6. Step 6: Final answer
    x = 106,422.63

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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.