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Finding the Fourth Proportional to 204,729.60, 307,137.60 and 64,502.40

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Solution

The fourth proportional to 204,729.60, 307,137.60 and 64,502.40 is: 96,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,729.60 : 307,137.60 = 64,502.40 : x
  2. Step 2: Convert to fraction form
    204,729.60/307,137.60 = 64,502.40/x
  3. Step 3: Cross multiply
    204,729.60x = 307,137.60 × 64,502.40
  4. Step 4: Simplify right side
    204,729.60x = 19,811,112,330.24
  5. Step 5: Solve for x
    x = 19,811,112,330.24/204,729.60
  6. Step 6: Final answer
    x = 96,767.21

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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.