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Finding the Fourth Proportional to 201,075.26, 301,612.63 and 51,315.55

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Solution

The fourth proportional to 201,075.26, 301,612.63 and 51,315.55 is: 76,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,075.26 : 301,612.63 = 51,315.55 : x
  2. Step 2: Convert to fraction form
    201,075.26/301,612.63 = 51,315.55/x
  3. Step 3: Cross multiply
    201,075.26x = 301,612.63 × 51,315.55
  4. Step 4: Simplify right side
    201,075.26x = 15,477,416,984.79
  5. Step 5: Solve for x
    x = 15,477,416,984.79/201,075.26
  6. Step 6: Final answer
    x = 76,973.26

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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.