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Finding the Fourth Proportional to 86,971.24, 120,019.86 and 47,227.24

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Solution

The fourth proportional to 86,971.24, 120,019.86 and 47,227.24 is: 65,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,971.24 : 120,019.86 = 47,227.24 : x
  2. Step 2: Convert to fraction form
    86,971.24/120,019.86 = 47,227.24/x
  3. Step 3: Cross multiply
    86,971.24x = 120,019.86 × 47,227.24
  4. Step 4: Simplify right side
    86,971.24x = 5,668,206,732.99
  5. Step 5: Solve for x
    x = 5,668,206,732.99/86,971.24
  6. Step 6: Final answer
    x = 65,173.35

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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.