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Finding the Fourth Proportional to 146,145.20, 219,217.80 and 137,980.40

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Solution

The fourth proportional to 146,145.20, 219,217.80 and 137,980.40 is: 206,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,145.20 : 219,217.80 = 137,980.40 : x
  2. Step 2: Convert to fraction form
    146,145.20/219,217.80 = 137,980.40/x
  3. Step 3: Cross multiply
    146,145.20x = 219,217.80 × 137,980.40
  4. Step 4: Simplify right side
    146,145.20x = 30,247,759,731.12
  5. Step 5: Solve for x
    x = 30,247,759,731.12/146,145.20
  6. Step 6: Final answer
    x = 206,970.60

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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.