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Finding the Fourth Proportional to 217,164.48, 299,833.47 and 135,617.34

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Solution

The fourth proportional to 217,164.48, 299,833.47 and 135,617.34 is: 187,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,164.48 : 299,833.47 = 135,617.34 : x
  2. Step 2: Convert to fraction form
    217,164.48/299,833.47 = 135,617.34/x
  3. Step 3: Cross multiply
    217,164.48x = 299,833.47 × 135,617.34
  4. Step 4: Simplify right side
    217,164.48x = 40,662,617,644.37
  5. Step 5: Solve for x
    x = 40,662,617,644.37/217,164.48
  6. Step 6: Final answer
    x = 187,243.41

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1.5x scale

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.