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Finding the Fourth Proportional to 144,684.80, 199,655.52 and 81,008

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Solution

The fourth proportional to 144,684.80, 199,655.52 and 81,008 is: 111,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,684.80 : 199,655.52 = 81,008 : x
  2. Step 2: Convert to fraction form
    144,684.80/199,655.52 = 81,008/x
  3. Step 3: Cross multiply
    144,684.80x = 199,655.52 × 81,008
  4. Step 4: Simplify right side
    144,684.80x = 16,173,694,364.16
  5. Step 5: Solve for x
    x = 16,173,694,364.16/144,684.80
  6. Step 6: Final answer
    x = 111,785.72

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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.