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Finding the Fourth Proportional to 104,102.78, 143,661.18 and 56,355.78

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Solution

The fourth proportional to 104,102.78, 143,661.18 and 56,355.78 is: 77,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,102.78 : 143,661.18 = 56,355.78 : x
  2. Step 2: Convert to fraction form
    104,102.78/143,661.18 = 56,355.78/x
  3. Step 3: Cross multiply
    104,102.78x = 143,661.18 × 56,355.78
  4. Step 4: Simplify right side
    104,102.78x = 8,096,137,854.62
  5. Step 5: Solve for x
    x = 8,096,137,854.62/104,102.78
  6. Step 6: Final answer
    x = 77,770.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.