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Finding the Fourth Proportional to 90,145.50, 135,189.50 and 30,966.90

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Solution

The fourth proportional to 90,145.50, 135,189.50 and 30,966.90 is: 46,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,145.50 : 135,189.50 = 30,966.90 : x
  2. Step 2: Convert to fraction form
    90,145.50/135,189.50 = 30,966.90/x
  3. Step 3: Cross multiply
    90,145.50x = 135,189.50 × 30,966.90
  4. Step 4: Simplify right side
    90,145.50x = 4,186,399,572.72
  5. Step 5: Solve for x
    x = 4,186,399,572.72/90,145.50
  6. Step 6: Final answer
    x = 46,440.47

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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.