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Finding the Fourth Proportional to 137,830.80, 206,746.20 and 136,664.40

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Solution

The fourth proportional to 137,830.80, 206,746.20 and 136,664.40 is: 204,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,830.80 : 206,746.20 = 136,664.40 : x
  2. Step 2: Convert to fraction form
    137,830.80/206,746.20 = 136,664.40/x
  3. Step 3: Cross multiply
    137,830.80x = 206,746.20 × 136,664.40
  4. Step 4: Simplify right side
    137,830.80x = 28,254,845,375.28
  5. Step 5: Solve for x
    x = 28,254,845,375.28/137,830.80
  6. Step 6: Final answer
    x = 204,996.60

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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.