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Finding the Fourth Proportional to 252,137.80, 378,206.70 and 141,315.40

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Solution

The fourth proportional to 252,137.80, 378,206.70 and 141,315.40 is: 211,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,137.80 : 378,206.70 = 141,315.40 : x
  2. Step 2: Convert to fraction form
    252,137.80/378,206.70 = 141,315.40/x
  3. Step 3: Cross multiply
    252,137.80x = 378,206.70 × 141,315.40
  4. Step 4: Simplify right side
    252,137.80x = 53,446,431,093.18
  5. Step 5: Solve for x
    x = 53,446,431,093.18/252,137.80
  6. Step 6: Final answer
    x = 211,973.10

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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.