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Finding the Fourth Proportional to 47,138, 65,051.96 and 25,918.80

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Solution

The fourth proportional to 47,138, 65,051.96 and 25,918.80 is: 35,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,138 : 65,051.96 = 25,918.80 : x
  2. Step 2: Convert to fraction form
    47,138/65,051.96 = 25,918.80/x
  3. Step 3: Cross multiply
    47,138x = 65,051.96 × 25,918.80
  4. Step 4: Simplify right side
    47,138x = 1,686,068,740.85
  5. Step 5: Solve for x
    x = 1,686,068,740.85/47,138
  6. Step 6: Final answer
    x = 35,768.78

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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.