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Finding the Fourth Proportional to 46,254, 69,392.52 and 13,422

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Solution

The fourth proportional to 46,254, 69,392.52 and 13,422 is: 20,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,254 : 69,392.52 = 13,422 : x
  2. Step 2: Convert to fraction form
    46,254/69,392.52 = 13,422/x
  3. Step 3: Cross multiply
    46,254x = 69,392.52 × 13,422
  4. Step 4: Simplify right side
    46,254x = 931,386,403.44
  5. Step 5: Solve for x
    x = 931,386,403.44/46,254
  6. Step 6: Final answer
    x = 20,136.34

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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.