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Finding the Fourth Proportional to 100,275.50, 138,380.46 and 55,563.50

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Solution

The fourth proportional to 100,275.50, 138,380.46 and 55,563.50 is: 76,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,275.50 : 138,380.46 = 55,563.50 : x
  2. Step 2: Convert to fraction form
    100,275.50/138,380.46 = 55,563.50/x
  3. Step 3: Cross multiply
    100,275.50x = 138,380.46 × 55,563.50
  4. Step 4: Simplify right side
    100,275.50x = 7,688,902,689.21
  5. Step 5: Solve for x
    x = 7,688,902,689.21/100,275.50
  6. Step 6: Final answer
    x = 76,677.78

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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.