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Finding the Fourth Proportional to 259,994, 389,941.68 and 126,740.24

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Solution

The fourth proportional to 259,994, 389,941.68 and 126,740.24 is: 190,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,994 : 389,941.68 = 126,740.24 : x
  2. Step 2: Convert to fraction form
    259,994/389,941.68 = 126,740.24/x
  3. Step 3: Cross multiply
    259,994x = 389,941.68 × 126,740.24
  4. Step 4: Simplify right side
    259,994x = 49,421,302,109.20
  5. Step 5: Solve for x
    x = 49,421,302,109.20/259,994
  6. Step 6: Final answer
    x = 190,086.32

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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.