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Finding the Fourth Proportional to 204,854.40, 307,454.40 and 99,763.20

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Solution

The fourth proportional to 204,854.40, 307,454.40 and 99,763.20 is: 149,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,854.40 : 307,454.40 = 99,763.20 : x
  2. Step 2: Convert to fraction form
    204,854.40/307,454.40 = 99,763.20/x
  3. Step 3: Cross multiply
    204,854.40x = 307,454.40 × 99,763.20
  4. Step 4: Simplify right side
    204,854.40x = 30,672,634,798.08
  5. Step 5: Solve for x
    x = 30,672,634,798.08/204,854.40
  6. Step 6: Final answer
    x = 149,728.95

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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.