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Finding the Fourth Proportional to 85,302, 127,953 and 22,972.50

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Solution

The fourth proportional to 85,302, 127,953 and 22,972.50 is: 34,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,302 : 127,953 = 22,972.50 : x
  2. Step 2: Convert to fraction form
    85,302/127,953 = 22,972.50/x
  3. Step 3: Cross multiply
    85,302x = 127,953 × 22,972.50
  4. Step 4: Simplify right side
    85,302x = 2,939,400,292.50
  5. Step 5: Solve for x
    x = 2,939,400,292.50/85,302
  6. Step 6: Final answer
    x = 34,458.75

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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.