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Finding the Fourth Proportional to 217,078.64, 299,577.76 and 126,420

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Solution

The fourth proportional to 217,078.64, 299,577.76 and 126,420 is: 174,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,078.64 : 299,577.76 = 126,420 : x
  2. Step 2: Convert to fraction form
    217,078.64/299,577.76 = 126,420/x
  3. Step 3: Cross multiply
    217,078.64x = 299,577.76 × 126,420
  4. Step 4: Simplify right side
    217,078.64x = 37,872,620,419.20
  5. Step 5: Solve for x
    x = 37,872,620,419.20/217,078.64
  6. Step 6: Final answer
    x = 174,464.98

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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.