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Finding the Fourth Proportional to 141,871.94, 195,783.87 and 78,208.34

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Solution

The fourth proportional to 141,871.94, 195,783.87 and 78,208.34 is: 107,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,871.94 : 195,783.87 = 78,208.34 : x
  2. Step 2: Convert to fraction form
    141,871.94/195,783.87 = 78,208.34/x
  3. Step 3: Cross multiply
    141,871.94x = 195,783.87 × 78,208.34
  4. Step 4: Simplify right side
    141,871.94x = 15,311,931,471.48
  5. Step 5: Solve for x
    x = 15,311,931,471.48/141,871.94
  6. Step 6: Final answer
    x = 107,927.84

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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.