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Finding the Fourth Proportional to 127,109.76, 190,664.87 and 52,177.68

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Solution

The fourth proportional to 127,109.76, 190,664.87 and 52,177.68 is: 78,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,109.76 : 190,664.87 = 52,177.68 : x
  2. Step 2: Convert to fraction form
    127,109.76/190,664.87 = 52,177.68/x
  3. Step 3: Cross multiply
    127,109.76x = 190,664.87 × 52,177.68
  4. Step 4: Simplify right side
    127,109.76x = 9,948,450,574.10
  5. Step 5: Solve for x
    x = 9,948,450,574.10/127,109.76
  6. Step 6: Final answer
    x = 78,266.61

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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.