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Finding the Fourth Proportional to 201,378.02, 302,064.60 and 51,617.12

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Solution

The fourth proportional to 201,378.02, 302,064.60 and 51,617.12 is: 77,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,378.02 : 302,064.60 = 51,617.12 : x
  2. Step 2: Convert to fraction form
    201,378.02/302,064.60 = 51,617.12/x
  3. Step 3: Cross multiply
    201,378.02x = 302,064.60 × 51,617.12
  4. Step 4: Simplify right side
    201,378.02x = 15,591,704,705.95
  5. Step 5: Solve for x
    x = 15,591,704,705.95/201,378.02
  6. Step 6: Final answer
    x = 77,425.06

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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.