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Finding the Fourth Proportional to 86,002.09, 118,678.87 and 47,764.11

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Solution

The fourth proportional to 86,002.09, 118,678.87 and 47,764.11 is: 65,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,002.09 : 118,678.87 = 47,764.11 : x
  2. Step 2: Convert to fraction form
    86,002.09/118,678.87 = 47,764.11/x
  3. Step 3: Cross multiply
    86,002.09x = 118,678.87 × 47,764.11
  4. Step 4: Simplify right side
    86,002.09x = 5,668,590,601.36
  5. Step 5: Solve for x
    x = 5,668,590,601.36/86,002.09
  6. Step 6: Final answer
    x = 65,912.24

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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.