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Finding the Fourth Proportional to 80,303, 120,407.81 and 30,386.95

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Solution

The fourth proportional to 80,303, 120,407.81 and 30,386.95 is: 45,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,303 : 120,407.81 = 30,386.95 : x
  2. Step 2: Convert to fraction form
    80,303/120,407.81 = 30,386.95/x
  3. Step 3: Cross multiply
    80,303x = 120,407.81 × 30,386.95
  4. Step 4: Simplify right side
    80,303x = 3,658,826,102.08
  5. Step 5: Solve for x
    x = 3,658,826,102.08/80,303
  6. Step 6: Final answer
    x = 45,562.76

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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.