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Finding the Fourth Proportional to 201,978.60, 302,622.30 and 128,020.20

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Solution

The fourth proportional to 201,978.60, 302,622.30 and 128,020.20 is: 191,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,978.60 : 302,622.30 = 128,020.20 : x
  2. Step 2: Convert to fraction form
    201,978.60/302,622.30 = 128,020.20/x
  3. Step 3: Cross multiply
    201,978.60x = 302,622.30 × 128,020.20
  4. Step 4: Simplify right side
    201,978.60x = 38,741,767,370.46
  5. Step 5: Solve for x
    x = 38,741,767,370.46/201,978.60
  6. Step 6: Final answer
    x = 191,811.25

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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.