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Finding the Fourth Proportional to 260,058, 390,085.72 and 82,561.20

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Solution

The fourth proportional to 260,058, 390,085.72 and 82,561.20 is: 123,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,058 : 390,085.72 = 82,561.20 : x
  2. Step 2: Convert to fraction form
    260,058/390,085.72 = 82,561.20/x
  3. Step 3: Cross multiply
    260,058x = 390,085.72 × 82,561.20
  4. Step 4: Simplify right side
    260,058x = 32,205,945,146.06
  5. Step 5: Solve for x
    x = 32,205,945,146.06/260,058
  6. Step 6: Final answer
    x = 123,841.39

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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.