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Finding the Fourth Proportional to 144,798.94, 199,822.35 and 81,137.17

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Solution

The fourth proportional to 144,798.94, 199,822.35 and 81,137.17 is: 111,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,798.94 : 199,822.35 = 81,137.17 : x
  2. Step 2: Convert to fraction form
    144,798.94/199,822.35 = 81,137.17/x
  3. Step 3: Cross multiply
    144,798.94x = 199,822.35 × 81,137.17
  4. Step 4: Simplify right side
    144,798.94x = 16,213,019,981.75
  5. Step 5: Solve for x
    x = 16,213,019,981.75/144,798.94
  6. Step 6: Final answer
    x = 111,969.19

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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.