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Finding the Fourth Proportional to 245,176, 367,764 and 78,964

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Solution

The fourth proportional to 245,176, 367,764 and 78,964 is: 118,446

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,176 : 367,764 = 78,964 : x
  2. Step 2: Convert to fraction form
    245,176/367,764 = 78,964/x
  3. Step 3: Cross multiply
    245,176x = 367,764 × 78,964
  4. Step 4: Simplify right side
    245,176x = 29,040,116,496
  5. Step 5: Solve for x
    x = 29,040,116,496/245,176
  6. Step 6: Final answer
    x = 118,446

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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.