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Finding the Fourth Proportional to 420,639.75, 630,960.98 and 105,096.69

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Solution

The fourth proportional to 420,639.75, 630,960.98 and 105,096.69 is: 157,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,639.75 : 630,960.98 = 105,096.69 : x
  2. Step 2: Convert to fraction form
    420,639.75/630,960.98 = 105,096.69/x
  3. Step 3: Cross multiply
    420,639.75x = 630,960.98 × 105,096.69
  4. Step 4: Simplify right side
    420,639.75x = 66,311,909,991.67
  5. Step 5: Solve for x
    x = 66,311,909,991.67/420,639.75
  6. Step 6: Final answer
    x = 157,645.37

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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.