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Finding the Fourth Proportional to 209,521.64, 313,915.74 and 142,745

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Solution

The fourth proportional to 209,521.64, 313,915.74 and 142,745 is: 213,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,521.64 : 313,915.74 = 142,745 : x
  2. Step 2: Convert to fraction form
    209,521.64/313,915.74 = 142,745/x
  3. Step 3: Cross multiply
    209,521.64x = 313,915.74 × 142,745
  4. Step 4: Simplify right side
    209,521.64x = 44,809,902,306.30
  5. Step 5: Solve for x
    x = 44,809,902,306.30/209,521.64
  6. Step 6: Final answer
    x = 213,867.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.