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Finding the Fourth Proportional to 104,495.80, 156,743.70 and 77,884.60

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Solution

The fourth proportional to 104,495.80, 156,743.70 and 77,884.60 is: 116,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,495.80 : 156,743.70 = 77,884.60 : x
  2. Step 2: Convert to fraction form
    104,495.80/156,743.70 = 77,884.60/x
  3. Step 3: Cross multiply
    104,495.80x = 156,743.70 × 77,884.60
  4. Step 4: Simplify right side
    104,495.80x = 12,207,920,377.02
  5. Step 5: Solve for x
    x = 12,207,920,377.02/104,495.80
  6. Step 6: Final answer
    x = 116,826.90

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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.