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Finding the Fourth Proportional to 137,991.20, 206,985.20 and 97,297.12

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Solution

The fourth proportional to 137,991.20, 206,985.20 and 97,297.12 is: 145,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,991.20 : 206,985.20 = 97,297.12 : x
  2. Step 2: Convert to fraction form
    137,991.20/206,985.20 = 97,297.12/x
  3. Step 3: Cross multiply
    137,991.20x = 206,985.20 × 97,297.12
  4. Step 4: Simplify right side
    137,991.20x = 20,139,063,842.62
  5. Step 5: Solve for x
    x = 20,139,063,842.62/137,991.20
  6. Step 6: Final answer
    x = 145,944.55

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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.