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Finding the Fourth Proportional to 52,670, 72,684.64 and 30,314

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Solution

The fourth proportional to 52,670, 72,684.64 and 30,314 is: 41,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,670 : 72,684.64 = 30,314 : x
  2. Step 2: Convert to fraction form
    52,670/72,684.64 = 30,314/x
  3. Step 3: Cross multiply
    52,670x = 72,684.64 × 30,314
  4. Step 4: Simplify right side
    52,670x = 2,203,362,176.96
  5. Step 5: Solve for x
    x = 2,203,362,176.96/52,670
  6. Step 6: Final answer
    x = 41,833.34

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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.