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Finding the Fourth Proportional to 309,033.39, 463,513.64 and 81,352.11

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Solution

The fourth proportional to 309,033.39, 463,513.64 and 81,352.11 is: 122,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,033.39 : 463,513.64 = 81,352.11 : x
  2. Step 2: Convert to fraction form
    309,033.39/463,513.64 = 81,352.11/x
  3. Step 3: Cross multiply
    309,033.39x = 463,513.64 × 81,352.11
  4. Step 4: Simplify right side
    309,033.39x = 37,707,812,221.02
  5. Step 5: Solve for x
    x = 37,707,812,221.02/309,033.39
  6. Step 6: Final answer
    x = 122,018.57

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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.