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Finding the Fourth Proportional to 78,671.45, 118,048.14 and 31,276.41

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Solution

The fourth proportional to 78,671.45, 118,048.14 and 31,276.41 is: 46,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,671.45 : 118,048.14 = 31,276.41 : x
  2. Step 2: Convert to fraction form
    78,671.45/118,048.14 = 31,276.41/x
  3. Step 3: Cross multiply
    78,671.45x = 118,048.14 × 31,276.41
  4. Step 4: Simplify right side
    78,671.45x = 3,692,122,026.38
  5. Step 5: Solve for x
    x = 3,692,122,026.38/78,671.45
  6. Step 6: Final answer
    x = 46,930.90

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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.