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Finding the Fourth Proportional to 217,090, 299,593.40 and 126,431.36

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Solution

The fourth proportional to 217,090, 299,593.40 and 126,431.36 is: 174,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,090 : 299,593.40 = 126,431.36 : x
  2. Step 2: Convert to fraction form
    217,090/299,593.40 = 126,431.36/x
  3. Step 3: Cross multiply
    217,090x = 299,593.40 × 126,431.36
  4. Step 4: Simplify right side
    217,090x = 37,878,001,009.02
  5. Step 5: Solve for x
    x = 37,878,001,009.02/217,090
  6. Step 6: Final answer
    x = 174,480.63

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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.