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Finding the Fourth Proportional to 217,705.31, 300,423.35 and 120,915.35

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Solution

The fourth proportional to 217,705.31, 300,423.35 and 120,915.35 is: 166,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,705.31 : 300,423.35 = 120,915.35 : x
  2. Step 2: Convert to fraction form
    217,705.31/300,423.35 = 120,915.35/x
  3. Step 3: Cross multiply
    217,705.31x = 300,423.35 × 120,915.35
  4. Step 4: Simplify right side
    217,705.31x = 36,325,795,566.77
  5. Step 5: Solve for x
    x = 36,325,795,566.77/217,705.31
  6. Step 6: Final answer
    x = 166,857.65

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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.