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Finding the Fourth Proportional to 80,461.94, 120,654.03 and 35,477.78

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Solution

The fourth proportional to 80,461.94, 120,654.03 and 35,477.78 is: 53,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,461.94 : 120,654.03 = 35,477.78 : x
  2. Step 2: Convert to fraction form
    80,461.94/120,654.03 = 35,477.78/x
  3. Step 3: Cross multiply
    80,461.94x = 120,654.03 × 35,477.78
  4. Step 4: Simplify right side
    80,461.94x = 4,280,537,132.45
  5. Step 5: Solve for x
    x = 4,280,537,132.45/80,461.94
  6. Step 6: Final answer
    x = 53,199.53

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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.