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Finding the Fourth Proportional to 179,415.66, 268,778.82 and 100,290

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Solution

The fourth proportional to 179,415.66, 268,778.82 and 100,290 is: 150,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,415.66 : 268,778.82 = 100,290 : x
  2. Step 2: Convert to fraction form
    179,415.66/268,778.82 = 100,290/x
  3. Step 3: Cross multiply
    179,415.66x = 268,778.82 × 100,290
  4. Step 4: Simplify right side
    179,415.66x = 26,955,827,857.80
  5. Step 5: Solve for x
    x = 26,955,827,857.80/179,415.66
  6. Step 6: Final answer
    x = 150,242.34

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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.