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Finding the Fourth Proportional to 76,320, 114,480 and 32,544

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Solution

The fourth proportional to 76,320, 114,480 and 32,544 is: 48,816

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,320 : 114,480 = 32,544 : x
  2. Step 2: Convert to fraction form
    76,320/114,480 = 32,544/x
  3. Step 3: Cross multiply
    76,320x = 114,480 × 32,544
  4. Step 4: Simplify right side
    76,320x = 3,725,637,120
  5. Step 5: Solve for x
    x = 3,725,637,120/76,320
  6. Step 6: Final answer
    x = 48,816

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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.