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Finding the Fourth Proportional to 118,516, 177,774 and 30,964

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Solution

The fourth proportional to 118,516, 177,774 and 30,964 is: 46,446

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,516 : 177,774 = 30,964 : x
  2. Step 2: Convert to fraction form
    118,516/177,774 = 30,964/x
  3. Step 3: Cross multiply
    118,516x = 177,774 × 30,964
  4. Step 4: Simplify right side
    118,516x = 5,504,594,136
  5. Step 5: Solve for x
    x = 5,504,594,136/118,516
  6. Step 6: Final answer
    x = 46,446

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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.