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Finding the Fourth Proportional to 307,684, 461,526 and 86,068

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Solution

The fourth proportional to 307,684, 461,526 and 86,068 is: 129,102

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,684 : 461,526 = 86,068 : x
  2. Step 2: Convert to fraction form
    307,684/461,526 = 86,068/x
  3. Step 3: Cross multiply
    307,684x = 461,526 × 86,068
  4. Step 4: Simplify right side
    307,684x = 39,722,619,768
  5. Step 5: Solve for x
    x = 39,722,619,768/307,684
  6. Step 6: Final answer
    x = 129,102

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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.