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Finding the Fourth Proportional to 289,227.23, 433,739.23 and 86,762.97

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Solution

The fourth proportional to 289,227.23, 433,739.23 and 86,762.97 is: 130,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,227.23 : 433,739.23 = 86,762.97 : x
  2. Step 2: Convert to fraction form
    289,227.23/433,739.23 = 86,762.97/x
  3. Step 3: Cross multiply
    289,227.23x = 433,739.23 × 86,762.97
  4. Step 4: Simplify right side
    289,227.23x = 37,632,503,800.31
  5. Step 5: Solve for x
    x = 37,632,503,800.31/289,227.23
  6. Step 6: Final answer
    x = 130,113.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.