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Finding the Fourth Proportional to 83,740, 115,566.60 and 47,941.60

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Solution

The fourth proportional to 83,740, 115,566.60 and 47,941.60 is: 66,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,740 : 115,566.60 = 47,941.60 : x
  2. Step 2: Convert to fraction form
    83,740/115,566.60 = 47,941.60/x
  3. Step 3: Cross multiply
    83,740x = 115,566.60 × 47,941.60
  4. Step 4: Simplify right side
    83,740x = 5,540,447,710.56
  5. Step 5: Solve for x
    x = 5,540,447,710.56/83,740
  6. Step 6: Final answer
    x = 66,162.50

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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.