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Finding the Fourth Proportional to 86,775, 119,749.62 and 47,031

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Solution

The fourth proportional to 86,775, 119,749.62 and 47,031 is: 64,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,775 : 119,749.62 = 47,031 : x
  2. Step 2: Convert to fraction form
    86,775/119,749.62 = 47,031/x
  3. Step 3: Cross multiply
    86,775x = 119,749.62 × 47,031
  4. Step 4: Simplify right side
    86,775x = 5,631,944,378.22
  5. Step 5: Solve for x
    x = 5,631,944,378.22/86,775
  6. Step 6: Final answer
    x = 64,902.85

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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.