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Finding the Fourth Proportional to 46,128, 69,142.80 and 19,834.80

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Solution

The fourth proportional to 46,128, 69,142.80 and 19,834.80 is: 29,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,128 : 69,142.80 = 19,834.80 : x
  2. Step 2: Convert to fraction form
    46,128/69,142.80 = 19,834.80/x
  3. Step 3: Cross multiply
    46,128x = 69,142.80 × 19,834.80
  4. Step 4: Simplify right side
    46,128x = 1,371,433,609.44
  5. Step 5: Solve for x
    x = 1,371,433,609.44/46,128
  6. Step 6: Final answer
    x = 29,731.04

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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.