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Finding the Fourth Proportional to 204,723.60, 307,128.60 and 64,496.40

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Solution

The fourth proportional to 204,723.60, 307,128.60 and 64,496.40 is: 96,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,723.60 : 307,128.60 = 64,496.40 : x
  2. Step 2: Convert to fraction form
    204,723.60/307,128.60 = 64,496.40/x
  3. Step 3: Cross multiply
    204,723.60x = 307,128.60 × 64,496.40
  4. Step 4: Simplify right side
    204,723.60x = 19,808,689,037.04
  5. Step 5: Solve for x
    x = 19,808,689,037.04/204,723.60
  6. Step 6: Final answer
    x = 96,758.21

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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.