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Finding the Fourth Proportional to 135,978.60, 203,967.90 and 85,896.30

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Solution

The fourth proportional to 135,978.60, 203,967.90 and 85,896.30 is: 128,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,978.60 : 203,967.90 = 85,896.30 : x
  2. Step 2: Convert to fraction form
    135,978.60/203,967.90 = 85,896.30/x
  3. Step 3: Cross multiply
    135,978.60x = 203,967.90 × 85,896.30
  4. Step 4: Simplify right side
    135,978.60x = 17,520,087,928.77
  5. Step 5: Solve for x
    x = 17,520,087,928.77/135,978.60
  6. Step 6: Final answer
    x = 128,844.45

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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.