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Finding the Fourth Proportional to 204,931.40, 307,065.90 and 115,920.20

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Solution

The fourth proportional to 204,931.40, 307,065.90 and 115,920.20 is: 173,692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,931.40 : 307,065.90 = 115,920.20 : x
  2. Step 2: Convert to fraction form
    204,931.40/307,065.90 = 115,920.20/x
  3. Step 3: Cross multiply
    204,931.40x = 307,065.90 × 115,920.20
  4. Step 4: Simplify right side
    204,931.40x = 35,595,140,541.18
  5. Step 5: Solve for x
    x = 35,595,140,541.18/204,931.40
  6. Step 6: Final answer
    x = 173,692.96

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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.