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Finding the Fourth Proportional to 30,365.63, 45,535.22 and 16,131

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Solution

The fourth proportional to 30,365.63, 45,535.22 and 16,131 is: 24,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,365.63 : 45,535.22 = 16,131 : x
  2. Step 2: Convert to fraction form
    30,365.63/45,535.22 = 16,131/x
  3. Step 3: Cross multiply
    30,365.63x = 45,535.22 × 16,131
  4. Step 4: Simplify right side
    30,365.63x = 734,528,633.82
  5. Step 5: Solve for x
    x = 734,528,633.82/30,365.63
  6. Step 6: Final answer
    x = 24,189.47

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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.