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Finding the Fourth Proportional to 137,132.80, 205,690.56 and 43,705.60

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Solution

The fourth proportional to 137,132.80, 205,690.56 and 43,705.60 is: 65,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,132.80 : 205,690.56 = 43,705.60 : x
  2. Step 2: Convert to fraction form
    137,132.80/205,690.56 = 43,705.60/x
  3. Step 3: Cross multiply
    137,132.80x = 205,690.56 × 43,705.60
  4. Step 4: Simplify right side
    137,132.80x = 8,989,829,339.14
  5. Step 5: Solve for x
    x = 8,989,829,339.14/137,132.80
  6. Step 6: Final answer
    x = 65,555.65

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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.