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Finding the Fourth Proportional to 100,531.04, 150,739.14 and 41,318

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Solution

The fourth proportional to 100,531.04, 150,739.14 and 41,318 is: 61,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,531.04 : 150,739.14 = 41,318 : x
  2. Step 2: Convert to fraction form
    100,531.04/150,739.14 = 41,318/x
  3. Step 3: Cross multiply
    100,531.04x = 150,739.14 × 41,318
  4. Step 4: Simplify right side
    100,531.04x = 6,228,239,786.52
  5. Step 5: Solve for x
    x = 6,228,239,786.52/100,531.04
  6. Step 6: Final answer
    x = 61,953.40

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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.