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Finding the Fourth Proportional to 136,985.09, 205,519.16 and 97,081.22

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Solution

The fourth proportional to 136,985.09, 205,519.16 and 97,081.22 is: 145,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,985.09 : 205,519.16 = 97,081.22 : x
  2. Step 2: Convert to fraction form
    136,985.09/205,519.16 = 97,081.22/x
  3. Step 3: Cross multiply
    136,985.09x = 205,519.16 × 97,081.22
  4. Step 4: Simplify right side
    136,985.09x = 19,952,051,542.68
  5. Step 5: Solve for x
    x = 19,952,051,542.68/136,985.09
  6. Step 6: Final answer
    x = 145,651.27

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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.