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Finding the Fourth Proportional to 199,894.78, 299,842.14 and 52,150.78

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Solution

The fourth proportional to 199,894.78, 299,842.14 and 52,150.78 is: 78,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,894.78 : 299,842.14 = 52,150.78 : x
  2. Step 2: Convert to fraction form
    199,894.78/299,842.14 = 52,150.78/x
  3. Step 3: Cross multiply
    199,894.78x = 299,842.14 × 52,150.78
  4. Step 4: Simplify right side
    199,894.78x = 15,637,001,477.87
  5. Step 5: Solve for x
    x = 15,637,001,477.87/199,894.78
  6. Step 6: Final answer
    x = 78,226.16

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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.