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Finding the Fourth Proportional to 137,110.10, 205,511.55 and 77,974.10

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Solution

The fourth proportional to 137,110.10, 205,511.55 and 77,974.10 is: 116,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,110.10 : 205,511.55 = 77,974.10 : x
  2. Step 2: Convert to fraction form
    137,110.10/205,511.55 = 77,974.10/x
  3. Step 3: Cross multiply
    137,110.10x = 205,511.55 × 77,974.10
  4. Step 4: Simplify right side
    137,110.10x = 16,024,578,150.86
  5. Step 5: Solve for x
    x = 16,024,578,150.86/137,110.10
  6. Step 6: Final answer
    x = 116,873.80

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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.