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Finding the Fourth Proportional to 135,907.60, 203,205.30 and 100,478.20

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Solution

The fourth proportional to 135,907.60, 203,205.30 and 100,478.20 is: 150,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,907.60 : 203,205.30 = 100,478.20 : x
  2. Step 2: Convert to fraction form
    135,907.60/203,205.30 = 100,478.20/x
  3. Step 3: Cross multiply
    135,907.60x = 203,205.30 × 100,478.20
  4. Step 4: Simplify right side
    135,907.60x = 20,417,702,774.46
  5. Step 5: Solve for x
    x = 20,417,702,774.46/135,907.60
  6. Step 6: Final answer
    x = 150,232.24

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1.5x scale

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.