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Finding the Fourth Proportional to 86,181.71, 118,929.06 and 47,940.46

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Solution

The fourth proportional to 86,181.71, 118,929.06 and 47,940.46 is: 66,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,181.71 : 118,929.06 = 47,940.46 : x
  2. Step 2: Convert to fraction form
    86,181.71/118,929.06 = 47,940.46/x
  3. Step 3: Cross multiply
    86,181.71x = 118,929.06 × 47,940.46
  4. Step 4: Simplify right side
    86,181.71x = 5,701,513,546.44
  5. Step 5: Solve for x
    x = 5,701,513,546.44/86,181.71
  6. Step 6: Final answer
    x = 66,156.89

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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.