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Finding the Fourth Proportional to 54,710, 75,504.12 and 30,514.40

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Solution

The fourth proportional to 54,710, 75,504.12 and 30,514.40 is: 42,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,710 : 75,504.12 = 30,514.40 : x
  2. Step 2: Convert to fraction form
    54,710/75,504.12 = 30,514.40/x
  3. Step 3: Cross multiply
    54,710x = 75,504.12 × 30,514.40
  4. Step 4: Simplify right side
    54,710x = 2,303,962,919.33
  5. Step 5: Solve for x
    x = 2,303,962,919.33/54,710
  6. Step 6: Final answer
    x = 42,112.28

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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.