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Finding the Fourth Proportional to 217,144, 299,676.08 and 127,737.28

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Solution

The fourth proportional to 217,144, 299,676.08 and 127,737.28 is: 176,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,144 : 299,676.08 = 127,737.28 : x
  2. Step 2: Convert to fraction form
    217,144/299,676.08 = 127,737.28/x
  3. Step 3: Cross multiply
    217,144x = 299,676.08 × 127,737.28
  4. Step 4: Simplify right side
    217,144x = 38,279,807,340.26
  5. Step 5: Solve for x
    x = 38,279,807,340.26/217,144
  6. Step 6: Final answer
    x = 176,287.66

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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.