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Finding the Fourth Proportional to 100,420.56, 138,580.44 and 55,708.56

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Solution

The fourth proportional to 100,420.56, 138,580.44 and 55,708.56 is: 76,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420.56 : 138,580.44 = 55,708.56 : x
  2. Step 2: Convert to fraction form
    100,420.56/138,580.44 = 55,708.56/x
  3. Step 3: Cross multiply
    100,420.56x = 138,580.44 × 55,708.56
  4. Step 4: Simplify right side
    100,420.56x = 7,720,116,756.57
  5. Step 5: Solve for x
    x = 7,720,116,756.57/100,420.56
  6. Step 6: Final answer
    x = 76,877.85

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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.