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Finding the Fourth Proportional to 78,471.95, 117,671.06 and 28,516.82

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Solution

The fourth proportional to 78,471.95, 117,671.06 and 28,516.82 is: 42,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471.95 : 117,671.06 = 28,516.82 : x
  2. Step 2: Convert to fraction form
    78,471.95/117,671.06 = 28,516.82/x
  3. Step 3: Cross multiply
    78,471.95x = 117,671.06 × 28,516.82
  4. Step 4: Simplify right side
    78,471.95x = 3,355,603,920.17
  5. Step 5: Solve for x
    x = 3,355,603,920.17/78,471.95
  6. Step 6: Final answer
    x = 42,761.83

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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.