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Finding the Fourth Proportional to 289,542.91, 434,207.62 and 99,955.03

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Solution

The fourth proportional to 289,542.91, 434,207.62 and 99,955.03 is: 149,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,542.91 : 434,207.62 = 99,955.03 : x
  2. Step 2: Convert to fraction form
    289,542.91/434,207.62 = 99,955.03/x
  3. Step 3: Cross multiply
    289,542.91x = 434,207.62 × 99,955.03
  4. Step 4: Simplify right side
    289,542.91x = 43,401,235,683.33
  5. Step 5: Solve for x
    x = 43,401,235,683.33/289,542.91
  6. Step 6: Final answer
    x = 149,895.69

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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.