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Finding the Fourth Proportional to 54,870.84, 75,721.92 and 29,720.34

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Solution

The fourth proportional to 54,870.84, 75,721.92 and 29,720.34 is: 41,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,870.84 : 75,721.92 = 29,720.34 : x
  2. Step 2: Convert to fraction form
    54,870.84/75,721.92 = 29,720.34/x
  3. Step 3: Cross multiply
    54,870.84x = 75,721.92 × 29,720.34
  4. Step 4: Simplify right side
    54,870.84x = 2,250,481,207.85
  5. Step 5: Solve for x
    x = 2,250,481,207.85/54,870.84
  6. Step 6: Final answer
    x = 41,014.16

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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.