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Finding the Fourth Proportional to 252,065.36, 378,045.12 and 111,734.48

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Solution

The fourth proportional to 252,065.36, 378,045.12 and 111,734.48 is: 167,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,065.36 : 378,045.12 = 111,734.48 : x
  2. Step 2: Convert to fraction form
    252,065.36/378,045.12 = 111,734.48/x
  3. Step 3: Cross multiply
    252,065.36x = 378,045.12 × 111,734.48
  4. Step 4: Simplify right side
    252,065.36x = 42,240,674,899.74
  5. Step 5: Solve for x
    x = 42,240,674,899.74/252,065.36
  6. Step 6: Final answer
    x = 167,578.26

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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.