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Finding the Fourth Proportional to 90,130.58, 135,199.01 and 30,965.82

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Solution

The fourth proportional to 90,130.58, 135,199.01 and 30,965.82 is: 46,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,130.58 : 135,199.01 = 30,965.82 : x
  2. Step 2: Convert to fraction form
    90,130.58/135,199.01 = 30,965.82/x
  3. Step 3: Cross multiply
    90,130.58x = 135,199.01 × 30,965.82
  4. Step 4: Simplify right side
    90,130.58x = 4,186,548,207.84
  5. Step 5: Solve for x
    x = 4,186,548,207.84/90,130.58
  6. Step 6: Final answer
    x = 46,449.81

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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.