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Finding the Fourth Proportional to 78,193.56, 107,907.13 and 42,383.46

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Solution

The fourth proportional to 78,193.56, 107,907.13 and 42,383.46 is: 58,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.56 : 107,907.13 = 42,383.46 : x
  2. Step 2: Convert to fraction form
    78,193.56/107,907.13 = 42,383.46/x
  3. Step 3: Cross multiply
    78,193.56x = 107,907.13 × 42,383.46
  4. Step 4: Simplify right side
    78,193.56x = 4,573,477,528.07
  5. Step 5: Solve for x
    x = 4,573,477,528.07/78,193.56
  6. Step 6: Final answer
    x = 58,489.18

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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.