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Finding the Fourth Proportional to 201,075.38, 301,612.81 and 51,315.67

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Solution

The fourth proportional to 201,075.38, 301,612.81 and 51,315.67 is: 76,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,075.38 : 301,612.81 = 51,315.67 : x
  2. Step 2: Convert to fraction form
    201,075.38/301,612.81 = 51,315.67/x
  3. Step 3: Cross multiply
    201,075.38x = 301,612.81 × 51,315.67
  4. Step 4: Simplify right side
    201,075.38x = 15,477,463,554.02
  5. Step 5: Solve for x
    x = 15,477,463,554.02/201,075.38
  6. Step 6: Final answer
    x = 76,973.44

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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.