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Finding the Fourth Proportional to 30,150, 45,276.84 and 27,402.48

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Solution

The fourth proportional to 30,150, 45,276.84 and 27,402.48 is: 41,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,150 : 45,276.84 = 27,402.48 : x
  2. Step 2: Convert to fraction form
    30,150/45,276.84 = 27,402.48/x
  3. Step 3: Cross multiply
    30,150x = 45,276.84 × 27,402.48
  4. Step 4: Simplify right side
    30,150x = 1,240,697,702.56
  5. Step 5: Solve for x
    x = 1,240,697,702.56/30,150
  6. Step 6: Final answer
    x = 41,150.84

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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.