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Finding the Fourth Proportional to 104,690, 157,063.80 and 30,818

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Solution

The fourth proportional to 104,690, 157,063.80 and 30,818 is: 46,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,690 : 157,063.80 = 30,818 : x
  2. Step 2: Convert to fraction form
    104,690/157,063.80 = 30,818/x
  3. Step 3: Cross multiply
    104,690x = 157,063.80 × 30,818
  4. Step 4: Simplify right side
    104,690x = 4,840,392,188.40
  5. Step 5: Solve for x
    x = 4,840,392,188.40/104,690
  6. Step 6: Final answer
    x = 46,235.48

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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.