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Finding the Fourth Proportional to 201,415.80, 302,131.90 and 83,075.86

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Solution

The fourth proportional to 201,415.80, 302,131.90 and 83,075.86 is: 124,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,415.80 : 302,131.90 = 83,075.86 : x
  2. Step 2: Convert to fraction form
    201,415.80/302,131.90 = 83,075.86/x
  3. Step 3: Cross multiply
    201,415.80x = 302,131.90 × 83,075.86
  4. Step 4: Simplify right side
    201,415.80x = 25,099,867,425.93
  5. Step 5: Solve for x
    x = 25,099,867,425.93/201,415.80
  6. Step 6: Final answer
    x = 124,617.17

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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.