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Finding the Fourth Proportional to 135,477.60, 202,997.70 and 85,468.20

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Solution

The fourth proportional to 135,477.60, 202,997.70 and 85,468.20 is: 128,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,477.60 : 202,997.70 = 85,468.20 : x
  2. Step 2: Convert to fraction form
    135,477.60/202,997.70 = 85,468.20/x
  3. Step 3: Cross multiply
    135,477.60x = 202,997.70 × 85,468.20
  4. Step 4: Simplify right side
    135,477.60x = 17,349,848,023.14
  5. Step 5: Solve for x
    x = 17,349,848,023.14/135,477.60
  6. Step 6: Final answer
    x = 128,064.33

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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.