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Finding the Fourth Proportional to 30,678, 46,027.80 and 15,106.56

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Solution

The fourth proportional to 30,678, 46,027.80 and 15,106.56 is: 22,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678 : 46,027.80 = 15,106.56 : x
  2. Step 2: Convert to fraction form
    30,678/46,027.80 = 15,106.56/x
  3. Step 3: Cross multiply
    30,678x = 46,027.80 × 15,106.56
  4. Step 4: Simplify right side
    30,678x = 695,321,722.37
  5. Step 5: Solve for x
    x = 695,321,722.37/30,678
  6. Step 6: Final answer
    x = 22,665.16

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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.