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Finding the Fourth Proportional to 65,809.76, 90,817.37 and 37,129.38

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Solution

The fourth proportional to 65,809.76, 90,817.37 and 37,129.38 is: 51,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,809.76 : 90,817.37 = 37,129.38 : x
  2. Step 2: Convert to fraction form
    65,809.76/90,817.37 = 37,129.38/x
  3. Step 3: Cross multiply
    65,809.76x = 90,817.37 × 37,129.38
  4. Step 4: Simplify right side
    65,809.76x = 3,371,992,001.60
  5. Step 5: Solve for x
    x = 3,371,992,001.60/65,809.76
  6. Step 6: Final answer
    x = 51,238.48

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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.