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Finding the Fourth Proportional to 201,146.51, 301,719.75 and 51,387.12

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Solution

The fourth proportional to 201,146.51, 301,719.75 and 51,387.12 is: 77,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146.51 : 301,719.75 = 51,387.12 : x
  2. Step 2: Convert to fraction form
    201,146.51/301,719.75 = 51,387.12/x
  3. Step 3: Cross multiply
    201,146.51x = 301,719.75 × 51,387.12
  4. Step 4: Simplify right side
    201,146.51x = 15,504,508,999.62
  5. Step 5: Solve for x
    x = 15,504,508,999.62/201,146.51
  6. Step 6: Final answer
    x = 77,080.68

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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.