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Finding the Fourth Proportional to 172,970.78, 259,531.10 and 92,915.34

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Solution

The fourth proportional to 172,970.78, 259,531.10 and 92,915.34 is: 139,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,970.78 : 259,531.10 = 92,915.34 : x
  2. Step 2: Convert to fraction form
    172,970.78/259,531.10 = 92,915.34/x
  3. Step 3: Cross multiply
    172,970.78x = 259,531.10 × 92,915.34
  4. Step 4: Simplify right side
    172,970.78x = 24,114,421,290.20
  5. Step 5: Solve for x
    x = 24,114,421,290.20/172,970.78
  6. Step 6: Final answer
    x = 139,413.27

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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.