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Finding the Fourth Proportional to 259,744.40, 389,535.60 and 102,021.20

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Solution

The fourth proportional to 259,744.40, 389,535.60 and 102,021.20 is: 152,999.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,744.40 : 389,535.60 = 102,021.20 : x
  2. Step 2: Convert to fraction form
    259,744.40/389,535.60 = 102,021.20/x
  3. Step 3: Cross multiply
    259,744.40x = 389,535.60 × 102,021.20
  4. Step 4: Simplify right side
    259,744.40x = 39,740,889,354.72
  5. Step 5: Solve for x
    x = 39,740,889,354.72/259,744.40
  6. Step 6: Final answer
    x = 152,999.99

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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.