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Finding the Fourth Proportional to 100,275.04, 138,380 and 55,563.04

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Solution

The fourth proportional to 100,275.04, 138,380 and 55,563.04 is: 76,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,275.04 : 138,380 = 55,563.04 : x
  2. Step 2: Convert to fraction form
    100,275.04/138,380 = 55,563.04/x
  3. Step 3: Cross multiply
    100,275.04x = 138,380 × 55,563.04
  4. Step 4: Simplify right side
    100,275.04x = 7,688,813,475.20
  5. Step 5: Solve for x
    x = 7,688,813,475.20/100,275.04
  6. Step 6: Final answer
    x = 76,677.24

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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.