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Finding the Fourth Proportional to 46,452, 69,660.36 and 19,781.16

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Solution

The fourth proportional to 46,452, 69,660.36 and 19,781.16 is: 29,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,452 : 69,660.36 = 19,781.16 : x
  2. Step 2: Convert to fraction form
    46,452/69,660.36 = 19,781.16/x
  3. Step 3: Cross multiply
    46,452x = 69,660.36 × 19,781.16
  4. Step 4: Simplify right side
    46,452x = 1,377,962,726.82
  5. Step 5: Solve for x
    x = 1,377,962,726.82/46,452
  6. Step 6: Final answer
    x = 29,664.23

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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.