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Finding the Fourth Proportional to 289,627.94, 434,500.43 and 100,095.23

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Solution

The fourth proportional to 289,627.94, 434,500.43 and 100,095.23 is: 150,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,627.94 : 434,500.43 = 100,095.23 : x
  2. Step 2: Convert to fraction form
    289,627.94/434,500.43 = 100,095.23/x
  3. Step 3: Cross multiply
    289,627.94x = 434,500.43 × 100,095.23
  4. Step 4: Simplify right side
    289,627.94x = 43,491,417,802.97
  5. Step 5: Solve for x
    x = 43,491,417,802.97/289,627.94
  6. Step 6: Final answer
    x = 150,163.06

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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.