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Finding the Fourth Proportional to 281,090.25, 387,905.76 and 153,767.97

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Solution

The fourth proportional to 281,090.25, 387,905.76 and 153,767.97 is: 212,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,090.25 : 387,905.76 = 153,767.97 : x
  2. Step 2: Convert to fraction form
    281,090.25/387,905.76 = 153,767.97/x
  3. Step 3: Cross multiply
    281,090.25x = 387,905.76 × 153,767.97
  4. Step 4: Simplify right side
    281,090.25x = 59,647,481,266.51
  5. Step 5: Solve for x
    x = 59,647,481,266.51/281,090.25
  6. Step 6: Final answer
    x = 212,200.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.