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Finding the Fourth Proportional to 149,992.78, 225,051.28 and 65,709.40

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Solution

The fourth proportional to 149,992.78, 225,051.28 and 65,709.40 is: 98,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,992.78 : 225,051.28 = 65,709.40 : x
  2. Step 2: Convert to fraction form
    149,992.78/225,051.28 = 65,709.40/x
  3. Step 3: Cross multiply
    149,992.78x = 225,051.28 × 65,709.40
  4. Step 4: Simplify right side
    149,992.78x = 14,787,984,578.03
  5. Step 5: Solve for x
    x = 14,787,984,578.03/149,992.78
  6. Step 6: Final answer
    x = 98,591.31

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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.