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Finding the Fourth Proportional to 81,159.16, 111,980.42 and 47,147.44

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Solution

The fourth proportional to 81,159.16, 111,980.42 and 47,147.44 is: 65,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,159.16 : 111,980.42 = 47,147.44 : x
  2. Step 2: Convert to fraction form
    81,159.16/111,980.42 = 47,147.44/x
  3. Step 3: Cross multiply
    81,159.16x = 111,980.42 × 47,147.44
  4. Step 4: Simplify right side
    81,159.16x = 5,279,590,133.12
  5. Step 5: Solve for x
    x = 5,279,590,133.12/81,159.16
  6. Step 6: Final answer
    x = 65,052.30

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1.5x scale

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.