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Finding the Fourth Proportional to 30,201.60, 45,309.60 and 15,412.80

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Solution

The fourth proportional to 30,201.60, 45,309.60 and 15,412.80 is: 23,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.60 : 45,309.60 = 15,412.80 : x
  2. Step 2: Convert to fraction form
    30,201.60/45,309.60 = 15,412.80/x
  3. Step 3: Cross multiply
    30,201.60x = 45,309.60 × 15,412.80
  4. Step 4: Simplify right side
    30,201.60x = 698,347,802.88
  5. Step 5: Solve for x
    x = 698,347,802.88/30,201.60
  6. Step 6: Final answer
    x = 23,122.87

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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.