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Finding the Fourth Proportional to 37,072, 51,159.54 and 20,305

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Solution

The fourth proportional to 37,072, 51,159.54 and 20,305 is: 28,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072 : 51,159.54 = 20,305 : x
  2. Step 2: Convert to fraction form
    37,072/51,159.54 = 20,305/x
  3. Step 3: Cross multiply
    37,072x = 51,159.54 × 20,305
  4. Step 4: Simplify right side
    37,072x = 1,038,794,459.70
  5. Step 5: Solve for x
    x = 1,038,794,459.70/37,072
  6. Step 6: Final answer
    x = 28,021.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.