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Finding the Fourth Proportional to 78,692.79, 118,052.27 and 31,308.36

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Solution

The fourth proportional to 78,692.79, 118,052.27 and 31,308.36 is: 46,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,692.79 : 118,052.27 = 31,308.36 : x
  2. Step 2: Convert to fraction form
    78,692.79/118,052.27 = 31,308.36/x
  3. Step 3: Cross multiply
    78,692.79x = 118,052.27 × 31,308.36
  4. Step 4: Simplify right side
    78,692.79x = 3,696,022,811.44
  5. Step 5: Solve for x
    x = 3,696,022,811.44/78,692.79
  6. Step 6: Final answer
    x = 46,967.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.