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Finding the Fourth Proportional to 78,192.56, 107,905.75 and 42,382.46

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Solution

The fourth proportional to 78,192.56, 107,905.75 and 42,382.46 is: 58,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192.56 : 107,905.75 = 42,382.46 : x
  2. Step 2: Convert to fraction form
    78,192.56/107,905.75 = 42,382.46/x
  3. Step 3: Cross multiply
    78,192.56x = 107,905.75 × 42,382.46
  4. Step 4: Simplify right side
    78,192.56x = 4,573,311,296.95
  5. Step 5: Solve for x
    x = 4,573,311,296.95/78,192.56
  6. Step 6: Final answer
    x = 58,487.80

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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.