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Finding the Fourth Proportional to 144,412.89, 199,274.46 and 79,871.87

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Solution

The fourth proportional to 144,412.89, 199,274.46 and 79,871.87 is: 110,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,412.89 : 199,274.46 = 79,871.87 : x
  2. Step 2: Convert to fraction form
    144,412.89/199,274.46 = 79,871.87/x
  3. Step 3: Cross multiply
    144,412.89x = 199,274.46 × 79,871.87
  4. Step 4: Simplify right side
    144,412.89x = 15,916,424,411.39
  5. Step 5: Solve for x
    x = 15,916,424,411.39/144,412.89
  6. Step 6: Final answer
    x = 110,214.71

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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.