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Finding the Fourth Proportional to 46,847, 70,280.22 and 19,145

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Solution

The fourth proportional to 46,847, 70,280.22 and 19,145 is: 28,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,847 : 70,280.22 = 19,145 : x
  2. Step 2: Convert to fraction form
    46,847/70,280.22 = 19,145/x
  3. Step 3: Cross multiply
    46,847x = 70,280.22 × 19,145
  4. Step 4: Simplify right side
    46,847x = 1,345,514,811.90
  5. Step 5: Solve for x
    x = 1,345,514,811.90/46,847
  6. Step 6: Final answer
    x = 28,721.47

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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.