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Finding the Fourth Proportional to 78,673.45, 118,051.14 and 31,278.41

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Solution

The fourth proportional to 78,673.45, 118,051.14 and 31,278.41 is: 46,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,673.45 : 118,051.14 = 31,278.41 : x
  2. Step 2: Convert to fraction form
    78,673.45/118,051.14 = 31,278.41/x
  3. Step 3: Cross multiply
    78,673.45x = 118,051.14 × 31,278.41
  4. Step 4: Simplify right side
    78,673.45x = 3,692,451,957.89
  5. Step 5: Solve for x
    x = 3,692,451,957.89/78,673.45
  6. Step 6: Final answer
    x = 46,933.90

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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.