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Finding the Fourth Proportional to 254,465.40, 381,698.10 and 136,075.80

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Solution

The fourth proportional to 254,465.40, 381,698.10 and 136,075.80 is: 204,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,465.40 : 381,698.10 = 136,075.80 : x
  2. Step 2: Convert to fraction form
    254,465.40/381,698.10 = 136,075.80/x
  3. Step 3: Cross multiply
    254,465.40x = 381,698.10 × 136,075.80
  4. Step 4: Simplify right side
    254,465.40x = 51,939,874,315.98
  5. Step 5: Solve for x
    x = 51,939,874,315.98/254,465.40
  6. Step 6: Final answer
    x = 204,113.70

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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.