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Finding the Fourth Proportional to 65,324, 90,144.51 and 38,467.64

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Solution

The fourth proportional to 65,324, 90,144.51 and 38,467.64 is: 53,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,324 : 90,144.51 = 38,467.64 : x
  2. Step 2: Convert to fraction form
    65,324/90,144.51 = 38,467.64/x
  3. Step 3: Cross multiply
    65,324x = 90,144.51 × 38,467.64
  4. Step 4: Simplify right side
    65,324x = 3,467,646,558.66
  5. Step 5: Solve for x
    x = 3,467,646,558.66/65,324
  6. Step 6: Final answer
    x = 53,083.81

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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.