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Finding the Fourth Proportional to 172,151.85, 258,242.65 and 47,492.85

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Solution

The fourth proportional to 172,151.85, 258,242.65 and 47,492.85 is: 71,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,151.85 : 258,242.65 = 47,492.85 : x
  2. Step 2: Convert to fraction form
    172,151.85/258,242.65 = 47,492.85/x
  3. Step 3: Cross multiply
    172,151.85x = 258,242.65 × 47,492.85
  4. Step 4: Simplify right side
    172,151.85x = 12,264,679,440.05
  5. Step 5: Solve for x
    x = 12,264,679,440.05/172,151.85
  6. Step 6: Final answer
    x = 71,243.38

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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.