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Finding the Fourth Proportional to 144,651.98, 199,638.66 and 84,223.64

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Solution

The fourth proportional to 144,651.98, 199,638.66 and 84,223.64 is: 116,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,651.98 : 199,638.66 = 84,223.64 : x
  2. Step 2: Convert to fraction form
    144,651.98/199,638.66 = 84,223.64/x
  3. Step 3: Cross multiply
    144,651.98x = 199,638.66 × 84,223.64
  4. Step 4: Simplify right side
    144,651.98x = 16,814,294,629.92
  5. Step 5: Solve for x
    x = 16,814,294,629.92/144,651.98
  6. Step 6: Final answer
    x = 116,239.64

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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.