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Finding the Fourth Proportional to 48,483, 66,907.35 and 31,716

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Solution

The fourth proportional to 48,483, 66,907.35 and 31,716 is: 43,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,483 : 66,907.35 = 31,716 : x
  2. Step 2: Convert to fraction form
    48,483/66,907.35 = 31,716/x
  3. Step 3: Cross multiply
    48,483x = 66,907.35 × 31,716
  4. Step 4: Simplify right side
    48,483x = 2,122,033,512.60
  5. Step 5: Solve for x
    x = 2,122,033,512.60/48,483
  6. Step 6: Final answer
    x = 43,768.61

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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.