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Finding the Fourth Proportional to 118,128, 177,192 and 30,576

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Solution

The fourth proportional to 118,128, 177,192 and 30,576 is: 45,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,128 : 177,192 = 30,576 : x
  2. Step 2: Convert to fraction form
    118,128/177,192 = 30,576/x
  3. Step 3: Cross multiply
    118,128x = 177,192 × 30,576
  4. Step 4: Simplify right side
    118,128x = 5,417,822,592
  5. Step 5: Solve for x
    x = 5,417,822,592/118,128
  6. Step 6: Final answer
    x = 45,864

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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.