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Finding the Fourth Proportional to 80,386.93, 120,581.42 and 55,420.30

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Solution

The fourth proportional to 80,386.93, 120,581.42 and 55,420.30 is: 83,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,386.93 : 120,581.42 = 55,420.30 : x
  2. Step 2: Convert to fraction form
    80,386.93/120,581.42 = 55,420.30/x
  3. Step 3: Cross multiply
    80,386.93x = 120,581.42 × 55,420.30
  4. Step 4: Simplify right side
    80,386.93x = 6,682,658,470.83
  5. Step 5: Solve for x
    x = 6,682,658,470.83/80,386.93
  6. Step 6: Final answer
    x = 83,131.16

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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.