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Finding the Fourth Proportional to 142,883.84, 197,179.36 and 79,220

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Solution

The fourth proportional to 142,883.84, 197,179.36 and 79,220 is: 109,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,883.84 : 197,179.36 = 79,220 : x
  2. Step 2: Convert to fraction form
    142,883.84/197,179.36 = 79,220/x
  3. Step 3: Cross multiply
    142,883.84x = 197,179.36 × 79,220
  4. Step 4: Simplify right side
    142,883.84x = 15,620,548,899.20
  5. Step 5: Solve for x
    x = 15,620,548,899.20/142,883.84
  6. Step 6: Final answer
    x = 109,323.41

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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.