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Finding the Fourth Proportional to 118,524, 177,786 and 30,972

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Solution

The fourth proportional to 118,524, 177,786 and 30,972 is: 46,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,524 : 177,786 = 30,972 : x
  2. Step 2: Convert to fraction form
    118,524/177,786 = 30,972/x
  3. Step 3: Cross multiply
    118,524x = 177,786 × 30,972
  4. Step 4: Simplify right side
    118,524x = 5,506,387,992
  5. Step 5: Solve for x
    x = 5,506,387,992/118,524
  6. Step 6: Final answer
    x = 46,458

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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.