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Finding the Fourth Proportional to 78,636.87, 117,385.17 and 72,783.23

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Solution

The fourth proportional to 78,636.87, 117,385.17 and 72,783.23 is: 108,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,636.87 : 117,385.17 = 72,783.23 : x
  2. Step 2: Convert to fraction form
    78,636.87/117,385.17 = 72,783.23/x
  3. Step 3: Cross multiply
    78,636.87x = 117,385.17 × 72,783.23
  4. Step 4: Simplify right side
    78,636.87x = 8,543,671,826.70
  5. Step 5: Solve for x
    x = 8,543,671,826.70/78,636.87
  6. Step 6: Final answer
    x = 108,647.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.