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Finding the Fourth Proportional to 70,608.64, 105,940.32 and 31,137.88

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Solution

The fourth proportional to 70,608.64, 105,940.32 and 31,137.88 is: 46,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,608.64 : 105,940.32 = 31,137.88 : x
  2. Step 2: Convert to fraction form
    70,608.64/105,940.32 = 31,137.88/x
  3. Step 3: Cross multiply
    70,608.64x = 105,940.32 × 31,137.88
  4. Step 4: Simplify right side
    70,608.64x = 3,298,756,971.32
  5. Step 5: Solve for x
    x = 3,298,756,971.32/70,608.64
  6. Step 6: Final answer
    x = 46,718.89

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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.