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Finding the Fourth Proportional to 149,329.98, 205,940.07 and 98,941.50

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Solution

The fourth proportional to 149,329.98, 205,940.07 and 98,941.50 is: 136,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,329.98 : 205,940.07 = 98,941.50 : x
  2. Step 2: Convert to fraction form
    149,329.98/205,940.07 = 98,941.50/x
  3. Step 3: Cross multiply
    149,329.98x = 205,940.07 × 98,941.50
  4. Step 4: Simplify right side
    149,329.98x = 20,376,019,435.91
  5. Step 5: Solve for x
    x = 20,376,019,435.91/149,329.98
  6. Step 6: Final answer
    x = 136,449.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.