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Finding the Fourth Proportional to 217,487.40, 300,132.00 and 120,705.86

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Solution

The fourth proportional to 217,487.40, 300,132.00 and 120,705.86 is: 166,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,487.40 : 300,132.00 = 120,705.86 : x
  2. Step 2: Convert to fraction form
    217,487.40/300,132.00 = 120,705.86/x
  3. Step 3: Cross multiply
    217,487.40x = 300,132.00 × 120,705.86
  4. Step 4: Simplify right side
    217,487.40x = 36,227,691,320.32
  5. Step 5: Solve for x
    x = 36,227,691,320.32/217,487.40
  6. Step 6: Final answer
    x = 166,573.75

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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.