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Finding the Fourth Proportional to 47,130.76, 65,041.36 and 25,912

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Solution

The fourth proportional to 47,130.76, 65,041.36 and 25,912 is: 35,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,130.76 : 65,041.36 = 25,912 : x
  2. Step 2: Convert to fraction form
    47,130.76/65,041.36 = 25,912/x
  3. Step 3: Cross multiply
    47,130.76x = 65,041.36 × 25,912
  4. Step 4: Simplify right side
    47,130.76x = 1,685,351,720.32
  5. Step 5: Solve for x
    x = 1,685,351,720.32/47,130.76
  6. Step 6: Final answer
    x = 35,759.06

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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.