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Finding the Fourth Proportional to 102,655.20, 154,069.20 and 50,109.60

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Solution

The fourth proportional to 102,655.20, 154,069.20 and 50,109.60 is: 75,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,655.20 : 154,069.20 = 50,109.60 : x
  2. Step 2: Convert to fraction form
    102,655.20/154,069.20 = 50,109.60/x
  3. Step 3: Cross multiply
    102,655.20x = 154,069.20 × 50,109.60
  4. Step 4: Simplify right side
    102,655.20x = 7,720,345,984.32
  5. Step 5: Solve for x
    x = 7,720,345,984.32/102,655.20
  6. Step 6: Final answer
    x = 75,206.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.