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Finding the Fourth Proportional to 289,708.80, 434,544.16 and 100,125.06

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Solution

The fourth proportional to 289,708.80, 434,544.16 and 100,125.06 is: 150,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,708.80 : 434,544.16 = 100,125.06 : x
  2. Step 2: Convert to fraction form
    289,708.80/434,544.16 = 100,125.06/x
  3. Step 3: Cross multiply
    289,708.80x = 434,544.16 × 100,125.06
  4. Step 4: Simplify right side
    289,708.80x = 43,508,760,092.65
  5. Step 5: Solve for x
    x = 43,508,760,092.65/289,708.80
  6. Step 6: Final answer
    x = 150,181.01

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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.