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Finding the Fourth Proportional to 100,020, 150,031.44 and 26,148

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Solution

The fourth proportional to 100,020, 150,031.44 and 26,148 is: 39,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,020 : 150,031.44 = 26,148 : x
  2. Step 2: Convert to fraction form
    100,020/150,031.44 = 26,148/x
  3. Step 3: Cross multiply
    100,020x = 150,031.44 × 26,148
  4. Step 4: Simplify right side
    100,020x = 3,923,022,093.12
  5. Step 5: Solve for x
    x = 3,923,022,093.12/100,020
  6. Step 6: Final answer
    x = 39,222.38

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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.