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Finding the Fourth Proportional to 118,320, 177,480 and 30,768

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Solution

The fourth proportional to 118,320, 177,480 and 30,768 is: 46,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,320 : 177,480 = 30,768 : x
  2. Step 2: Convert to fraction form
    118,320/177,480 = 30,768/x
  3. Step 3: Cross multiply
    118,320x = 177,480 × 30,768
  4. Step 4: Simplify right side
    118,320x = 5,460,704,640
  5. Step 5: Solve for x
    x = 5,460,704,640/118,320
  6. Step 6: Final answer
    x = 46,152

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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.