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Finding the Fourth Proportional to 137,121.60, 205,698.40 and 43,636.80

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Solution

The fourth proportional to 137,121.60, 205,698.40 and 43,636.80 is: 65,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,121.60 : 205,698.40 = 43,636.80 : x
  2. Step 2: Convert to fraction form
    137,121.60/205,698.40 = 43,636.80/x
  3. Step 3: Cross multiply
    137,121.60x = 205,698.40 × 43,636.80
  4. Step 4: Simplify right side
    137,121.60x = 8,976,019,941.12
  5. Step 5: Solve for x
    x = 8,976,019,941.12/137,121.60
  6. Step 6: Final answer
    x = 65,460.29

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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.