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Finding the Fourth Proportional to 146,465.80, 219,698.70 and 83,480.20

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Solution

The fourth proportional to 146,465.80, 219,698.70 and 83,480.20 is: 125,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,465.80 : 219,698.70 = 83,480.20 : x
  2. Step 2: Convert to fraction form
    146,465.80/219,698.70 = 83,480.20/x
  3. Step 3: Cross multiply
    146,465.80x = 219,698.70 × 83,480.20
  4. Step 4: Simplify right side
    146,465.80x = 18,340,491,415.74
  5. Step 5: Solve for x
    x = 18,340,491,415.74/146,465.80
  6. Step 6: Final answer
    x = 125,220.30

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1.5x scale

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.