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Finding the Fourth Proportional to 65,686.26, 90,647.16 and 35,878.26

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Solution

The fourth proportional to 65,686.26, 90,647.16 and 35,878.26 is: 49,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686.26 : 90,647.16 = 35,878.26 : x
  2. Step 2: Convert to fraction form
    65,686.26/90,647.16 = 35,878.26/x
  3. Step 3: Cross multiply
    65,686.26x = 90,647.16 × 35,878.26
  4. Step 4: Simplify right side
    65,686.26x = 3,252,262,374.74
  5. Step 5: Solve for x
    x = 3,252,262,374.74/65,686.26
  6. Step 6: Final answer
    x = 49,512.07

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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.