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Finding the Fourth Proportional to 144,428.44, 199,307.51 and 79,896

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Solution

The fourth proportional to 144,428.44, 199,307.51 and 79,896 is: 110,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,428.44 : 199,307.51 = 79,896 : x
  2. Step 2: Convert to fraction form
    144,428.44/199,307.51 = 79,896/x
  3. Step 3: Cross multiply
    144,428.44x = 199,307.51 × 79,896
  4. Step 4: Simplify right side
    144,428.44x = 15,923,872,818.96
  5. Step 5: Solve for x
    x = 15,923,872,818.96/144,428.44
  6. Step 6: Final answer
    x = 110,254.41

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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.