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Finding the Fourth Proportional to 144,896.93, 199,970.09 and 80,386.95

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Solution

The fourth proportional to 144,896.93, 199,970.09 and 80,386.95 is: 110,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,896.93 : 199,970.09 = 80,386.95 : x
  2. Step 2: Convert to fraction form
    144,896.93/199,970.09 = 80,386.95/x
  3. Step 3: Cross multiply
    144,896.93x = 199,970.09 × 80,386.95
  4. Step 4: Simplify right side
    144,896.93x = 16,074,985,750.06
  5. Step 5: Solve for x
    x = 16,074,985,750.06/144,896.93
  6. Step 6: Final answer
    x = 110,940.83

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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.