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Finding the Fourth Proportional to 137,392.58, 206,091.70 and 90,307.88

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Solution

The fourth proportional to 137,392.58, 206,091.70 and 90,307.88 is: 135,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,392.58 : 206,091.70 = 90,307.88 : x
  2. Step 2: Convert to fraction form
    137,392.58/206,091.70 = 90,307.88/x
  3. Step 3: Cross multiply
    137,392.58x = 206,091.70 × 90,307.88
  4. Step 4: Simplify right side
    137,392.58x = 18,611,704,512.60
  5. Step 5: Solve for x
    x = 18,611,704,512.60/137,392.58
  6. Step 6: Final answer
    x = 135,463.68

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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.