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Finding the Fourth Proportional to 127,207.60, 190,648.20 and 71,047.60

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Solution

The fourth proportional to 127,207.60, 190,648.20 and 71,047.60 is: 106,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,207.60 : 190,648.20 = 71,047.60 : x
  2. Step 2: Convert to fraction form
    127,207.60/190,648.20 = 71,047.60/x
  3. Step 3: Cross multiply
    127,207.60x = 190,648.20 × 71,047.60
  4. Step 4: Simplify right side
    127,207.60x = 13,545,097,054.32
  5. Step 5: Solve for x
    x = 13,545,097,054.32/127,207.60
  6. Step 6: Final answer
    x = 106,480.25

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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.