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Finding the Fourth Proportional to 30,078, 41,507.71 and 16,650.16

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Solution

The fourth proportional to 30,078, 41,507.71 and 16,650.16 is: 22,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078 : 41,507.71 = 16,650.16 : x
  2. Step 2: Convert to fraction form
    30,078/41,507.71 = 16,650.16/x
  3. Step 3: Cross multiply
    30,078x = 41,507.71 × 16,650.16
  4. Step 4: Simplify right side
    30,078x = 691,109,867.34
  5. Step 5: Solve for x
    x = 691,109,867.34/30,078
  6. Step 6: Final answer
    x = 22,977.25

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1.5x scale

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.