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Finding the Fourth Proportional to 100,563.76, 138,771.12 and 55,243.68

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Solution

The fourth proportional to 100,563.76, 138,771.12 and 55,243.68 is: 76,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,563.76 : 138,771.12 = 55,243.68 : x
  2. Step 2: Convert to fraction form
    100,563.76/138,771.12 = 55,243.68/x
  3. Step 3: Cross multiply
    100,563.76x = 138,771.12 × 55,243.68
  4. Step 4: Simplify right side
    100,563.76x = 7,666,227,346.52
  5. Step 5: Solve for x
    x = 7,666,227,346.52/100,563.76
  6. Step 6: Final answer
    x = 76,232.51

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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.