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Finding the Fourth Proportional to 101,198.08, 139,651.72 and 55,880.74

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Solution

The fourth proportional to 101,198.08, 139,651.72 and 55,880.74 is: 77,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,198.08 : 139,651.72 = 55,880.74 : x
  2. Step 2: Convert to fraction form
    101,198.08/139,651.72 = 55,880.74/x
  3. Step 3: Cross multiply
    101,198.08x = 139,651.72 × 55,880.74
  4. Step 4: Simplify right side
    101,198.08x = 7,803,841,455.87
  5. Step 5: Solve for x
    x = 7,803,841,455.87/101,198.08
  6. Step 6: Final answer
    x = 77,114.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.