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Finding the Fourth Proportional to 217,418.42, 299,935.22 and 153,791.30

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Solution

The fourth proportional to 217,418.42, 299,935.22 and 153,791.30 is: 212,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,418.42 : 299,935.22 = 153,791.30 : x
  2. Step 2: Convert to fraction form
    217,418.42/299,935.22 = 153,791.30/x
  3. Step 3: Cross multiply
    217,418.42x = 299,935.22 × 153,791.30
  4. Step 4: Simplify right side
    217,418.42x = 46,127,427,399.59
  5. Step 5: Solve for x
    x = 46,127,427,399.59/217,418.42
  6. Step 6: Final answer
    x = 212,159.70

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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.