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Finding the Fourth Proportional to 127,222, 190,833.08 and 39,670

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Solution

The fourth proportional to 127,222, 190,833.08 and 39,670 is: 59,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,222 : 190,833.08 = 39,670 : x
  2. Step 2: Convert to fraction form
    127,222/190,833.08 = 39,670/x
  3. Step 3: Cross multiply
    127,222x = 190,833.08 × 39,670
  4. Step 4: Simplify right side
    127,222x = 7,570,348,283.60
  5. Step 5: Solve for x
    x = 7,570,348,283.60/127,222
  6. Step 6: Final answer
    x = 59,505.02

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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.