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Finding the Fourth Proportional to 172,320, 258,480 and 55,584

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Solution

The fourth proportional to 172,320, 258,480 and 55,584 is: 83,376

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,320 : 258,480 = 55,584 : x
  2. Step 2: Convert to fraction form
    172,320/258,480 = 55,584/x
  3. Step 3: Cross multiply
    172,320x = 258,480 × 55,584
  4. Step 4: Simplify right side
    172,320x = 14,367,352,320
  5. Step 5: Solve for x
    x = 14,367,352,320/172,320
  6. Step 6: Final answer
    x = 83,376

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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.