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Finding the Fourth Proportional to 99,428.22, 149,069.43 and 46,809

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Solution

The fourth proportional to 99,428.22, 149,069.43 and 46,809 is: 70,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,428.22 : 149,069.43 = 46,809 : x
  2. Step 2: Convert to fraction form
    99,428.22/149,069.43 = 46,809/x
  3. Step 3: Cross multiply
    99,428.22x = 149,069.43 × 46,809
  4. Step 4: Simplify right side
    99,428.22x = 6,977,790,948.87
  5. Step 5: Solve for x
    x = 6,977,790,948.87/99,428.22
  6. Step 6: Final answer
    x = 70,179.18

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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.