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Finding the Fourth Proportional to 30,102.40, 45,110.40 and 22,142.80

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Solution

The fourth proportional to 30,102.40, 45,110.40 and 22,142.80 is: 33,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.40 : 45,110.40 = 22,142.80 : x
  2. Step 2: Convert to fraction form
    30,102.40/45,110.40 = 22,142.80/x
  3. Step 3: Cross multiply
    30,102.40x = 45,110.40 × 22,142.80
  4. Step 4: Simplify right side
    30,102.40x = 998,870,565.12
  5. Step 5: Solve for x
    x = 998,870,565.12/30,102.40
  6. Step 6: Final answer
    x = 33,182.42

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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.