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Finding the Fourth Proportional to 80,455.40, 120,683.10 and 61,829.45

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Solution

The fourth proportional to 80,455.40, 120,683.10 and 61,829.45 is: 92,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,455.40 : 120,683.10 = 61,829.45 : x
  2. Step 2: Convert to fraction form
    80,455.40/120,683.10 = 61,829.45/x
  3. Step 3: Cross multiply
    80,455.40x = 120,683.10 × 61,829.45
  4. Step 4: Simplify right side
    80,455.40x = 7,461,769,697.30
  5. Step 5: Solve for x
    x = 7,461,769,697.30/80,455.40
  6. Step 6: Final answer
    x = 92,744.18

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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.