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Finding the Fourth Proportional to 144,804.19, 199,835.19 and 81,139.63

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Solution

The fourth proportional to 144,804.19, 199,835.19 and 81,139.63 is: 111,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,804.19 : 199,835.19 = 81,139.63 : x
  2. Step 2: Convert to fraction form
    144,804.19/199,835.19 = 81,139.63/x
  3. Step 3: Cross multiply
    144,804.19x = 199,835.19 × 81,139.63
  4. Step 4: Simplify right side
    144,804.19x = 16,214,551,972.71
  5. Step 5: Solve for x
    x = 16,214,551,972.71/144,804.19
  6. Step 6: Final answer
    x = 111,975.71

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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.