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Finding the Fourth Proportional to 65,368.92, 98,040.47 and 17,971.78

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Solution

The fourth proportional to 65,368.92, 98,040.47 and 17,971.78 is: 26,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,368.92 : 98,040.47 = 17,971.78 : x
  2. Step 2: Convert to fraction form
    65,368.92/98,040.47 = 17,971.78/x
  3. Step 3: Cross multiply
    65,368.92x = 98,040.47 × 17,971.78
  4. Step 4: Simplify right side
    65,368.92x = 1,761,961,757.94
  5. Step 5: Solve for x
    x = 1,761,961,757.94/65,368.92
  6. Step 6: Final answer
    x = 26,954.12

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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.