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Finding the Fourth Proportional to 197,698.50, 296,503.20 and 90,980.01

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Solution

The fourth proportional to 197,698.50, 296,503.20 and 90,980.01 is: 136,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,698.50 : 296,503.20 = 90,980.01 : x
  2. Step 2: Convert to fraction form
    197,698.50/296,503.20 = 90,980.01/x
  3. Step 3: Cross multiply
    197,698.50x = 296,503.20 × 90,980.01
  4. Step 4: Simplify right side
    197,698.50x = 26,975,864,101.03
  5. Step 5: Solve for x
    x = 26,975,864,101.03/197,698.50
  6. Step 6: Final answer
    x = 136,449.51

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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.