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Finding the Fourth Proportional to 46,137, 69,210.36 and 21,172.80

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Solution

The fourth proportional to 46,137, 69,210.36 and 21,172.80 is: 31,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,137 : 69,210.36 = 21,172.80 : x
  2. Step 2: Convert to fraction form
    46,137/69,210.36 = 21,172.80/x
  3. Step 3: Cross multiply
    46,137x = 69,210.36 × 21,172.80
  4. Step 4: Simplify right side
    46,137x = 1,465,377,110.21
  5. Step 5: Solve for x
    x = 1,465,377,110.21/46,137
  6. Step 6: Final answer
    x = 31,761.43

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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.