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Finding the Fourth Proportional to 185,301, 255,716.60 and 100,418.67

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Solution

The fourth proportional to 185,301, 255,716.60 and 100,418.67 is: 138,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,301 : 255,716.60 = 100,418.67 : x
  2. Step 2: Convert to fraction form
    185,301/255,716.60 = 100,418.67/x
  3. Step 3: Cross multiply
    185,301x = 255,716.60 × 100,418.67
  4. Step 4: Simplify right side
    185,301x = 25,678,720,366.83
  5. Step 5: Solve for x
    x = 25,678,720,366.83/185,301
  6. Step 6: Final answer
    x = 138,578.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.