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Finding the Fourth Proportional to 104,256, 156,412.80 and 30,384

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Solution

The fourth proportional to 104,256, 156,412.80 and 30,384 is: 45,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,256 : 156,412.80 = 30,384 : x
  2. Step 2: Convert to fraction form
    104,256/156,412.80 = 30,384/x
  3. Step 3: Cross multiply
    104,256x = 156,412.80 × 30,384
  4. Step 4: Simplify right side
    104,256x = 4,752,446,515.20
  5. Step 5: Solve for x
    x = 4,752,446,515.20/104,256
  6. Step 6: Final answer
    x = 45,584.39

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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.