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Finding the Fourth Proportional to 104,678, 157,018.72 and 29,800

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Solution

The fourth proportional to 104,678, 157,018.72 and 29,800 is: 44,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,678 : 157,018.72 = 29,800 : x
  2. Step 2: Convert to fraction form
    104,678/157,018.72 = 29,800/x
  3. Step 3: Cross multiply
    104,678x = 157,018.72 × 29,800
  4. Step 4: Simplify right side
    104,678x = 4,679,157,856
  5. Step 5: Solve for x
    x = 4,679,157,856/104,678
  6. Step 6: Final answer
    x = 44,700.49

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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.