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Finding the Fourth Proportional to 127,098, 190,608.60 and 38,344.08

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Solution

The fourth proportional to 127,098, 190,608.60 and 38,344.08 is: 57,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,098 : 190,608.60 = 38,344.08 : x
  2. Step 2: Convert to fraction form
    127,098/190,608.60 = 38,344.08/x
  3. Step 3: Cross multiply
    127,098x = 190,608.60 × 38,344.08
  4. Step 4: Simplify right side
    127,098x = 7,308,711,407.09
  5. Step 5: Solve for x
    x = 7,308,711,407.09/127,098
  6. Step 6: Final answer
    x = 57,504.54

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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.