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Finding the Fourth Proportional to 65,664, 90,616.80 and 35,856

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Solution

The fourth proportional to 65,664, 90,616.80 and 35,856 is: 49,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,664 : 90,616.80 = 35,856 : x
  2. Step 2: Convert to fraction form
    65,664/90,616.80 = 35,856/x
  3. Step 3: Cross multiply
    65,664x = 90,616.80 × 35,856
  4. Step 4: Simplify right side
    65,664x = 3,249,155,980.80
  5. Step 5: Solve for x
    x = 3,249,155,980.80/65,664
  6. Step 6: Final answer
    x = 49,481.54

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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.