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Finding the Fourth Proportional to 65,698.31, 90,663.77 and 37,404

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Solution

The fourth proportional to 65,698.31, 90,663.77 and 37,404 is: 51,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,698.31 : 90,663.77 = 37,404 : x
  2. Step 2: Convert to fraction form
    65,698.31/90,663.77 = 37,404/x
  3. Step 3: Cross multiply
    65,698.31x = 90,663.77 × 37,404
  4. Step 4: Simplify right side
    65,698.31x = 3,391,187,746.59
  5. Step 5: Solve for x
    x = 3,391,187,746.59/65,698.31
  6. Step 6: Final answer
    x = 51,617.58

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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.