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Finding the Fourth Proportional to 54,865.62, 75,720.72 and 30,993.84

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Solution

The fourth proportional to 54,865.62, 75,720.72 and 30,993.84 is: 42,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,865.62 : 75,720.72 = 30,993.84 : x
  2. Step 2: Convert to fraction form
    54,865.62/75,720.72 = 30,993.84/x
  3. Step 3: Cross multiply
    54,865.62x = 75,720.72 × 30,993.84
  4. Step 4: Simplify right side
    54,865.62x = 2,346,875,346.79
  5. Step 5: Solve for x
    x = 2,346,875,346.79/54,865.62
  6. Step 6: Final answer
    x = 42,774.98

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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.