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Finding the Fourth Proportional to 130,854.40, 180,582.40 and 80,563.20

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Solution

The fourth proportional to 130,854.40, 180,582.40 and 80,563.20 is: 111,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,854.40 : 180,582.40 = 80,563.20 : x
  2. Step 2: Convert to fraction form
    130,854.40/180,582.40 = 80,563.20/x
  3. Step 3: Cross multiply
    130,854.40x = 180,582.40 × 80,563.20
  4. Step 4: Simplify right side
    130,854.40x = 14,548,296,007.68
  5. Step 5: Solve for x
    x = 14,548,296,007.68/130,854.40
  6. Step 6: Final answer
    x = 111,179.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.