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Finding the Fourth Proportional to 307,742, 461,613 and 86,126

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Solution

The fourth proportional to 307,742, 461,613 and 86,126 is: 129,189

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,742 : 461,613 = 86,126 : x
  2. Step 2: Convert to fraction form
    307,742/461,613 = 86,126/x
  3. Step 3: Cross multiply
    307,742x = 461,613 × 86,126
  4. Step 4: Simplify right side
    307,742x = 39,756,881,238
  5. Step 5: Solve for x
    x = 39,756,881,238/307,742
  6. Step 6: Final answer
    x = 129,189

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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.