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Finding the Fourth Proportional to 100,392, 150,596.64 and 26,520

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Solution

The fourth proportional to 100,392, 150,596.64 and 26,520 is: 39,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,392 : 150,596.64 = 26,520 : x
  2. Step 2: Convert to fraction form
    100,392/150,596.64 = 26,520/x
  3. Step 3: Cross multiply
    100,392x = 150,596.64 × 26,520
  4. Step 4: Simplify right side
    100,392x = 3,993,822,892.80
  5. Step 5: Solve for x
    x = 3,993,822,892.80/100,392
  6. Step 6: Final answer
    x = 39,782.28

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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.