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Finding the Fourth Proportional to 46,210, 69,315 and 13,378

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Solution

The fourth proportional to 46,210, 69,315 and 13,378 is: 20,067

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,210 : 69,315 = 13,378 : x
  2. Step 2: Convert to fraction form
    46,210/69,315 = 13,378/x
  3. Step 3: Cross multiply
    46,210x = 69,315 × 13,378
  4. Step 4: Simplify right side
    46,210x = 927,296,070
  5. Step 5: Solve for x
    x = 927,296,070/46,210
  6. Step 6: Final answer
    x = 20,067

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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.