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Finding the Fourth Proportional to 65,403.05, 90,257.93 and 36,725

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Solution

The fourth proportional to 65,403.05, 90,257.93 and 36,725 is: 50,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,403.05 : 90,257.93 = 36,725 : x
  2. Step 2: Convert to fraction form
    65,403.05/90,257.93 = 36,725/x
  3. Step 3: Cross multiply
    65,403.05x = 90,257.93 × 36,725
  4. Step 4: Simplify right side
    65,403.05x = 3,314,722,479.25
  5. Step 5: Solve for x
    x = 3,314,722,479.25/65,403.05
  6. Step 6: Final answer
    x = 50,681.47

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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.