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Finding the Fourth Proportional to 100,797.40, 139,102.78 and 55,477.90

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Solution

The fourth proportional to 100,797.40, 139,102.78 and 55,477.90 is: 76,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,797.40 : 139,102.78 = 55,477.90 : x
  2. Step 2: Convert to fraction form
    100,797.40/139,102.78 = 55,477.90/x
  3. Step 3: Cross multiply
    100,797.40x = 139,102.78 × 55,477.90
  4. Step 4: Simplify right side
    100,797.40x = 7,717,130,118.56
  5. Step 5: Solve for x
    x = 7,717,130,118.56/100,797.40
  6. Step 6: Final answer
    x = 76,560.81

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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.