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Finding the Fourth Proportional to 217,437, 300,063.60 and 126,855.24

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Solution

The fourth proportional to 217,437, 300,063.60 and 126,855.24 is: 175,060.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,437 : 300,063.60 = 126,855.24 : x
  2. Step 2: Convert to fraction form
    217,437/300,063.60 = 126,855.24/x
  3. Step 3: Cross multiply
    217,437x = 300,063.60 × 126,855.24
  4. Step 4: Simplify right side
    217,437x = 38,064,639,993.26
  5. Step 5: Solve for x
    x = 38,064,639,993.26/217,437
  6. Step 6: Final answer
    x = 175,060.55

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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.