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Finding the Fourth Proportional to 307,692, 461,555.28 and 86,093.28

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Solution

The fourth proportional to 307,692, 461,555.28 and 86,093.28 is: 129,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,692 : 461,555.28 = 86,093.28 : x
  2. Step 2: Convert to fraction form
    307,692/461,555.28 = 86,093.28/x
  3. Step 3: Cross multiply
    307,692x = 461,555.28 × 86,093.28
  4. Step 4: Simplify right side
    307,692x = 39,736,807,956.52
  5. Step 5: Solve for x
    x = 39,736,807,956.52/307,692
  6. Step 6: Final answer
    x = 129,144.76

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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.