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Finding the Fourth Proportional to 65,706, 90,690.48 and 37,428.36

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Solution

The fourth proportional to 65,706, 90,690.48 and 37,428.36 is: 51,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,706 : 90,690.48 = 37,428.36 : x
  2. Step 2: Convert to fraction form
    65,706/90,690.48 = 37,428.36/x
  3. Step 3: Cross multiply
    65,706x = 90,690.48 × 37,428.36
  4. Step 4: Simplify right side
    65,706x = 3,394,395,934.01
  5. Step 5: Solve for x
    x = 3,394,395,934.01/65,706
  6. Step 6: Final answer
    x = 51,660.36

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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.