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Finding the Fourth Proportional to 86,042.25, 118,738.31 and 48,316.50

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Solution

The fourth proportional to 86,042.25, 118,738.31 and 48,316.50 is: 66,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,042.25 : 118,738.31 = 48,316.50 : x
  2. Step 2: Convert to fraction form
    86,042.25/118,738.31 = 48,316.50/x
  3. Step 3: Cross multiply
    86,042.25x = 118,738.31 × 48,316.50
  4. Step 4: Simplify right side
    86,042.25x = 5,737,019,313.53
  5. Step 5: Solve for x
    x = 5,737,019,313.53/86,042.25
  6. Step 6: Final answer
    x = 66,676.77

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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.