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Finding the Fourth Proportional to 78,193.41, 107,907.09 and 42,383.38

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Solution

The fourth proportional to 78,193.41, 107,907.09 and 42,383.38 is: 58,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.41 : 107,907.09 = 42,383.38 : x
  2. Step 2: Convert to fraction form
    78,193.41/107,907.09 = 42,383.38/x
  3. Step 3: Cross multiply
    78,193.41x = 107,907.09 × 42,383.38
  4. Step 4: Simplify right side
    78,193.41x = 4,573,467,200.16
  5. Step 5: Solve for x
    x = 4,573,467,200.16/78,193.41
  6. Step 6: Final answer
    x = 58,489.16

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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.