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Finding the Fourth Proportional to 274,053.12, 378,195.32 and 153,199.32

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Solution

The fourth proportional to 274,053.12, 378,195.32 and 153,199.32 is: 211,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,053.12 : 378,195.32 = 153,199.32 : x
  2. Step 2: Convert to fraction form
    274,053.12/378,195.32 = 153,199.32/x
  3. Step 3: Cross multiply
    274,053.12x = 378,195.32 × 153,199.32
  4. Step 4: Simplify right side
    274,053.12x = 57,939,265,851.18
  5. Step 5: Solve for x
    x = 57,939,265,851.18/274,053.12
  6. Step 6: Final answer
    x = 211,416.19

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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.