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Finding the Fourth Proportional to 201,166.81, 301,749.91 and 51,407.12

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Solution

The fourth proportional to 201,166.81, 301,749.91 and 51,407.12 is: 77,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,166.81 : 301,749.91 = 51,407.12 : x
  2. Step 2: Convert to fraction form
    201,166.81/301,749.91 = 51,407.12/x
  3. Step 3: Cross multiply
    201,166.81x = 301,749.91 × 51,407.12
  4. Step 4: Simplify right side
    201,166.81x = 15,512,094,459.22
  5. Step 5: Solve for x
    x = 15,512,094,459.22/201,166.81
  6. Step 6: Final answer
    x = 77,110.61

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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.