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Finding the Fourth Proportional to 127,287.40, 190,906.80 and 38,543.80

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Solution

The fourth proportional to 127,287.40, 190,906.80 and 38,543.80 is: 57,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,287.40 : 190,906.80 = 38,543.80 : x
  2. Step 2: Convert to fraction form
    127,287.40/190,906.80 = 38,543.80/x
  3. Step 3: Cross multiply
    127,287.40x = 190,906.80 × 38,543.80
  4. Step 4: Simplify right side
    127,287.40x = 7,358,273,517.84
  5. Step 5: Solve for x
    x = 7,358,273,517.84/127,287.40
  6. Step 6: Final answer
    x = 57,808.34

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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.