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Finding the Fourth Proportional to 80,415, 120,606.06 and 30,477.90

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Solution

The fourth proportional to 80,415, 120,606.06 and 30,477.90 is: 45,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,415 : 120,606.06 = 30,477.90 : x
  2. Step 2: Convert to fraction form
    80,415/120,606.06 = 30,477.90/x
  3. Step 3: Cross multiply
    80,415x = 120,606.06 × 30,477.90
  4. Step 4: Simplify right side
    80,415x = 3,675,819,436.07
  5. Step 5: Solve for x
    x = 3,675,819,436.07/80,415
  6. Step 6: Final answer
    x = 45,710.62

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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.