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Finding the Fourth Proportional to 78,182.25, 107,891.44 and 42,372.25

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Solution

The fourth proportional to 78,182.25, 107,891.44 and 42,372.25 is: 58,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182.25 : 107,891.44 = 42,372.25 : x
  2. Step 2: Convert to fraction form
    78,182.25/107,891.44 = 42,372.25/x
  3. Step 3: Cross multiply
    78,182.25x = 107,891.44 × 42,372.25
  4. Step 4: Simplify right side
    78,182.25x = 4,571,603,068.54
  5. Step 5: Solve for x
    x = 4,571,603,068.54/78,182.25
  6. Step 6: Final answer
    x = 58,473.67

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1.5x scale

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.