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Finding the Fourth Proportional to 144,907.89, 199,935.03 and 83,639.07

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Solution

The fourth proportional to 144,907.89, 199,935.03 and 83,639.07 is: 115,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,907.89 : 199,935.03 = 83,639.07 : x
  2. Step 2: Convert to fraction form
    144,907.89/199,935.03 = 83,639.07/x
  3. Step 3: Cross multiply
    144,907.89x = 199,935.03 × 83,639.07
  4. Step 4: Simplify right side
    144,907.89x = 16,722,379,969.62
  5. Step 5: Solve for x
    x = 16,722,379,969.62/144,907.89
  6. Step 6: Final answer
    x = 115,400.07

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1.5x scale

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.