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Finding the Fourth Proportional to 30,746.70, 46,120.05 and 28,122.30

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Solution

The fourth proportional to 30,746.70, 46,120.05 and 28,122.30 is: 42,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746.70 : 46,120.05 = 28,122.30 : x
  2. Step 2: Convert to fraction form
    30,746.70/46,120.05 = 28,122.30/x
  3. Step 3: Cross multiply
    30,746.70x = 46,120.05 × 28,122.30
  4. Step 4: Simplify right side
    30,746.70x = 1,297,001,882.12
  5. Step 5: Solve for x
    x = 1,297,001,882.12/30,746.70
  6. Step 6: Final answer
    x = 42,183.45

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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.