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Finding the Fourth Proportional to 154,185.68, 212,811.80 and 100,377

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Solution

The fourth proportional to 154,185.68, 212,811.80 and 100,377 is: 138,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,185.68 : 212,811.80 = 100,377 : x
  2. Step 2: Convert to fraction form
    154,185.68/212,811.80 = 100,377/x
  3. Step 3: Cross multiply
    154,185.68x = 212,811.80 × 100,377
  4. Step 4: Simplify right side
    154,185.68x = 21,361,410,048.60
  5. Step 5: Solve for x
    x = 21,361,410,048.60/154,185.68
  6. Step 6: Final answer
    x = 138,543.41

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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.