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Finding the Fourth Proportional to 144,802.86, 199,817.87 and 80,271.48

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Solution

The fourth proportional to 144,802.86, 199,817.87 and 80,271.48 is: 110,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,802.86 : 199,817.87 = 80,271.48 : x
  2. Step 2: Convert to fraction form
    144,802.86/199,817.87 = 80,271.48/x
  3. Step 3: Cross multiply
    144,802.86x = 199,817.87 × 80,271.48
  4. Step 4: Simplify right side
    144,802.86x = 16,039,676,731.49
  5. Step 5: Solve for x
    x = 16,039,676,731.49/144,802.86
  6. Step 6: Final answer
    x = 110,769.06

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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.