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Finding the Fourth Proportional to 77,257.92, 106,617.44 and 50,417.60

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Solution

The fourth proportional to 77,257.92, 106,617.44 and 50,417.60 is: 69,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,257.92 : 106,617.44 = 50,417.60 : x
  2. Step 2: Convert to fraction form
    77,257.92/106,617.44 = 50,417.60/x
  3. Step 3: Cross multiply
    77,257.92x = 106,617.44 × 50,417.60
  4. Step 4: Simplify right side
    77,257.92x = 5,375,395,442.94
  5. Step 5: Solve for x
    x = 5,375,395,442.94/77,257.92
  6. Step 6: Final answer
    x = 69,577.27

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1.5x scale

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.