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Finding the Fourth Proportional to 142,776, 197,035.20 and 79,107.84

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Solution

The fourth proportional to 142,776, 197,035.20 and 79,107.84 is: 109,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,776 : 197,035.20 = 79,107.84 : x
  2. Step 2: Convert to fraction form
    142,776/197,035.20 = 79,107.84/x
  3. Step 3: Cross multiply
    142,776x = 197,035.20 × 79,107.84
  4. Step 4: Simplify right side
    142,776x = 15,587,029,075.97
  5. Step 5: Solve for x
    x = 15,587,029,075.97/142,776
  6. Step 6: Final answer
    x = 109,171.21

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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.