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Finding the Fourth Proportional to 46,857, 70,295.22 and 19,155

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Solution

The fourth proportional to 46,857, 70,295.22 and 19,155 is: 28,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,857 : 70,295.22 = 19,155 : x
  2. Step 2: Convert to fraction form
    46,857/70,295.22 = 19,155/x
  3. Step 3: Cross multiply
    46,857x = 70,295.22 × 19,155
  4. Step 4: Simplify right side
    46,857x = 1,346,504,939.10
  5. Step 5: Solve for x
    x = 1,346,504,939.10/46,857
  6. Step 6: Final answer
    x = 28,736.47

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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.