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Finding the Fourth Proportional to 101,860.84, 152,843.80 and 45,740

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Solution

The fourth proportional to 101,860.84, 152,843.80 and 45,740 is: 68,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,860.84 : 152,843.80 = 45,740 : x
  2. Step 2: Convert to fraction form
    101,860.84/152,843.80 = 45,740/x
  3. Step 3: Cross multiply
    101,860.84x = 152,843.80 × 45,740
  4. Step 4: Simplify right side
    101,860.84x = 6,991,075,412.00
  5. Step 5: Solve for x
    x = 6,991,075,412.00/101,860.84
  6. Step 6: Final answer
    x = 68,633.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.