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Finding the Fourth Proportional to 86,160.56, 118,912.20 and 48,434

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Solution

The fourth proportional to 86,160.56, 118,912.20 and 48,434 is: 66,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,160.56 : 118,912.20 = 48,434 : x
  2. Step 2: Convert to fraction form
    86,160.56/118,912.20 = 48,434/x
  3. Step 3: Cross multiply
    86,160.56x = 118,912.20 × 48,434
  4. Step 4: Simplify right side
    86,160.56x = 5,759,393,494.80
  5. Step 5: Solve for x
    x = 5,759,393,494.80/86,160.56
  6. Step 6: Final answer
    x = 66,844.89

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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.