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Finding the Fourth Proportional to 65,455.54, 90,329.84 and 36,386.64

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Solution

The fourth proportional to 65,455.54, 90,329.84 and 36,386.64 is: 50,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,455.54 : 90,329.84 = 36,386.64 : x
  2. Step 2: Convert to fraction form
    65,455.54/90,329.84 = 36,386.64/x
  3. Step 3: Cross multiply
    65,455.54x = 90,329.84 × 36,386.64
  4. Step 4: Simplify right side
    65,455.54x = 3,286,799,234.48
  5. Step 5: Solve for x
    x = 3,286,799,234.48/65,455.54
  6. Step 6: Final answer
    x = 50,214.23

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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.