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Finding the Fourth Proportional to 127,225.20, 190,924.20 and 71,065.20

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Solution

The fourth proportional to 127,225.20, 190,924.20 and 71,065.20 is: 106,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,225.20 : 190,924.20 = 71,065.20 : x
  2. Step 2: Convert to fraction form
    127,225.20/190,924.20 = 71,065.20/x
  3. Step 3: Cross multiply
    127,225.20x = 190,924.20 × 71,065.20
  4. Step 4: Simplify right side
    127,225.20x = 13,568,066,457.84
  5. Step 5: Solve for x
    x = 13,568,066,457.84/127,225.20
  6. Step 6: Final answer
    x = 106,646.06

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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.