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Finding the Fourth Proportional to 137,715.60, 206,573.40 and 136,840.80

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Solution

The fourth proportional to 137,715.60, 206,573.40 and 136,840.80 is: 205,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,715.60 : 206,573.40 = 136,840.80 : x
  2. Step 2: Convert to fraction form
    137,715.60/206,573.40 = 136,840.80/x
  3. Step 3: Cross multiply
    137,715.60x = 206,573.40 × 136,840.80
  4. Step 4: Simplify right side
    137,715.60x = 28,267,669,314.72
  5. Step 5: Solve for x
    x = 28,267,669,314.72/137,715.60
  6. Step 6: Final answer
    x = 205,261.20

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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.