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Finding the Fourth Proportional to 201,159.16, 301,738.69 and 51,399.73

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Solution

The fourth proportional to 201,159.16, 301,738.69 and 51,399.73 is: 77,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,159.16 : 301,738.69 = 51,399.73 : x
  2. Step 2: Convert to fraction form
    201,159.16/301,738.69 = 51,399.73/x
  3. Step 3: Cross multiply
    201,159.16x = 301,738.69 × 51,399.73
  4. Step 4: Simplify right side
    201,159.16x = 15,509,287,196.55
  5. Step 5: Solve for x
    x = 15,509,287,196.55/201,159.16
  6. Step 6: Final answer
    x = 77,099.58

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1.5x scale

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.