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Finding the Fourth Proportional to 85,144.63, 117,503.23 and 47,418.88

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Solution

The fourth proportional to 85,144.63, 117,503.23 and 47,418.88 is: 65,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,144.63 : 117,503.23 = 47,418.88 : x
  2. Step 2: Convert to fraction form
    85,144.63/117,503.23 = 47,418.88/x
  3. Step 3: Cross multiply
    85,144.63x = 117,503.23 × 47,418.88
  4. Step 4: Simplify right side
    85,144.63x = 5,571,870,975.47
  5. Step 5: Solve for x
    x = 5,571,870,975.47/85,144.63
  6. Step 6: Final answer
    x = 65,440.08

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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.