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Finding the Fourth Proportional to 180,752, 271,128 and 49,424

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Solution

The fourth proportional to 180,752, 271,128 and 49,424 is: 74,136

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,752 : 271,128 = 49,424 : x
  2. Step 2: Convert to fraction form
    180,752/271,128 = 49,424/x
  3. Step 3: Cross multiply
    180,752x = 271,128 × 49,424
  4. Step 4: Simplify right side
    180,752x = 13,400,230,272
  5. Step 5: Solve for x
    x = 13,400,230,272/180,752
  6. Step 6: Final answer
    x = 74,136

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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.