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Finding the Fourth Proportional to 137,214.60, 205,837.90 and 43,729.80

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Solution

The fourth proportional to 137,214.60, 205,837.90 and 43,729.80 is: 65,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,214.60 : 205,837.90 = 43,729.80 : x
  2. Step 2: Convert to fraction form
    137,214.60/205,837.90 = 43,729.80/x
  3. Step 3: Cross multiply
    137,214.60x = 205,837.90 × 43,729.80
  4. Step 4: Simplify right side
    137,214.60x = 9,001,250,199.42
  5. Step 5: Solve for x
    x = 9,001,250,199.42/137,214.60
  6. Step 6: Final answer
    x = 65,599.80

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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.