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Finding the Fourth Proportional to 112,402, 168,612.72 and 29,296

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Solution

The fourth proportional to 112,402, 168,612.72 and 29,296 is: 43,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,402 : 168,612.72 = 29,296 : x
  2. Step 2: Convert to fraction form
    112,402/168,612.72 = 29,296/x
  3. Step 3: Cross multiply
    112,402x = 168,612.72 × 29,296
  4. Step 4: Simplify right side
    112,402x = 4,939,678,245.12
  5. Step 5: Solve for x
    x = 4,939,678,245.12/112,402
  6. Step 6: Final answer
    x = 43,946.53

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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.