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Finding the Fourth Proportional to 36,500.20, 54,750.30 and 31,980.40

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Solution

The fourth proportional to 36,500.20, 54,750.30 and 31,980.40 is: 47,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,500.20 : 54,750.30 = 31,980.40 : x
  2. Step 2: Convert to fraction form
    36,500.20/54,750.30 = 31,980.40/x
  3. Step 3: Cross multiply
    36,500.20x = 54,750.30 × 31,980.40
  4. Step 4: Simplify right side
    36,500.20x = 1,750,936,494.12
  5. Step 5: Solve for x
    x = 1,750,936,494.12/36,500.20
  6. Step 6: Final answer
    x = 47,970.60

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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.