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Finding the Fourth Proportional to 46,856, 70,293.72 and 19,154

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Solution

The fourth proportional to 46,856, 70,293.72 and 19,154 is: 28,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,856 : 70,293.72 = 19,154 : x
  2. Step 2: Convert to fraction form
    46,856/70,293.72 = 19,154/x
  3. Step 3: Cross multiply
    46,856x = 70,293.72 × 19,154
  4. Step 4: Simplify right side
    46,856x = 1,346,405,912.88
  5. Step 5: Solve for x
    x = 1,346,405,912.88/46,856
  6. Step 6: Final answer
    x = 28,734.97

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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.