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Finding the Fourth Proportional to 104,455.85, 144,102.82 and 61,989.78

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Solution

The fourth proportional to 104,455.85, 144,102.82 and 61,989.78 is: 85,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,455.85 : 144,102.82 = 61,989.78 : x
  2. Step 2: Convert to fraction form
    104,455.85/144,102.82 = 61,989.78/x
  3. Step 3: Cross multiply
    104,455.85x = 144,102.82 × 61,989.78
  4. Step 4: Simplify right side
    104,455.85x = 8,932,902,109.18
  5. Step 5: Solve for x
    x = 8,932,902,109.18/104,455.85
  6. Step 6: Final answer
    x = 85,518.45

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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.