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Finding the Fourth Proportional to 66,708.64, 100,062.95 and 31,629.16

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Solution

The fourth proportional to 66,708.64, 100,062.95 and 31,629.16 is: 47,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,708.64 : 100,062.95 = 31,629.16 : x
  2. Step 2: Convert to fraction form
    66,708.64/100,062.95 = 31,629.16/x
  3. Step 3: Cross multiply
    66,708.64x = 100,062.95 × 31,629.16
  4. Step 4: Simplify right side
    66,708.64x = 3,164,907,055.62
  5. Step 5: Solve for x
    x = 3,164,907,055.62/66,708.64
  6. Step 6: Final answer
    x = 47,443.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.