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Finding the Fourth Proportional to 99,787, 137,706.24 and 55,075

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Solution

The fourth proportional to 99,787, 137,706.24 and 55,075 is: 76,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,787 : 137,706.24 = 55,075 : x
  2. Step 2: Convert to fraction form
    99,787/137,706.24 = 55,075/x
  3. Step 3: Cross multiply
    99,787x = 137,706.24 × 55,075
  4. Step 4: Simplify right side
    99,787x = 7,584,171,168.00
  5. Step 5: Solve for x
    x = 7,584,171,168.00/99,787
  6. Step 6: Final answer
    x = 76,003.60

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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.