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Finding the Fourth Proportional to 255,075.69, 351,989.10 and 140,350.13

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Solution

The fourth proportional to 255,075.69, 351,989.10 and 140,350.13 is: 193,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,075.69 : 351,989.10 = 140,350.13 : x
  2. Step 2: Convert to fraction form
    255,075.69/351,989.10 = 140,350.13/x
  3. Step 3: Cross multiply
    255,075.69x = 351,989.10 × 140,350.13
  4. Step 4: Simplify right side
    255,075.69x = 49,401,714,183.64
  5. Step 5: Solve for x
    x = 49,401,714,183.64/255,075.69
  6. Step 6: Final answer
    x = 193,674.73

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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.