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Finding the Fourth Proportional to 78,236.88, 107,965.87 and 42,426.70

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Solution

The fourth proportional to 78,236.88, 107,965.87 and 42,426.70 is: 58,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,236.88 : 107,965.87 = 42,426.70 : x
  2. Step 2: Convert to fraction form
    78,236.88/107,965.87 = 42,426.70/x
  3. Step 3: Cross multiply
    78,236.88x = 107,965.87 × 42,426.70
  4. Step 4: Simplify right side
    78,236.88x = 4,580,635,200.75
  5. Step 5: Solve for x
    x = 4,580,635,200.75/78,236.88
  6. Step 6: Final answer
    x = 58,548.29

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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.