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Finding the Fourth Proportional to 65,328, 90,168 and 38,847.36

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Solution

The fourth proportional to 65,328, 90,168 and 38,847.36 is: 53,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,328 : 90,168 = 38,847.36 : x
  2. Step 2: Convert to fraction form
    65,328/90,168 = 38,847.36/x
  3. Step 3: Cross multiply
    65,328x = 90,168 × 38,847.36
  4. Step 4: Simplify right side
    65,328x = 3,502,788,756.48
  5. Step 5: Solve for x
    x = 3,502,788,756.48/65,328
  6. Step 6: Final answer
    x = 53,618.49

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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.