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Finding the Fourth Proportional to 201,275, 301,922.76 and 51,516.52

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Solution

The fourth proportional to 201,275, 301,922.76 and 51,516.52 is: 77,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,275 : 301,922.76 = 51,516.52 : x
  2. Step 2: Convert to fraction form
    201,275/301,922.76 = 51,516.52/x
  3. Step 3: Cross multiply
    201,275x = 301,922.76 × 51,516.52
  4. Step 4: Simplify right side
    201,275x = 15,554,009,904.00
  5. Step 5: Solve for x
    x = 15,554,009,904.00/201,275
  6. Step 6: Final answer
    x = 77,277.41

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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.