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Finding the Fourth Proportional to 30,205.82, 45,308.70 and 19,815.14

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Solution

The fourth proportional to 30,205.82, 45,308.70 and 19,815.14 is: 29,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.82 : 45,308.70 = 19,815.14 : x
  2. Step 2: Convert to fraction form
    30,205.82/45,308.70 = 19,815.14/x
  3. Step 3: Cross multiply
    30,205.82x = 45,308.70 × 19,815.14
  4. Step 4: Simplify right side
    30,205.82x = 897,798,233.72
  5. Step 5: Solve for x
    x = 897,798,233.72/30,205.82
  6. Step 6: Final answer
    x = 29,722.69

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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.