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Finding the Fourth Proportional to 213,249.96, 319,875.32 and 55,478.16

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Solution

The fourth proportional to 213,249.96, 319,875.32 and 55,478.16 is: 83,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,249.96 : 319,875.32 = 55,478.16 : x
  2. Step 2: Convert to fraction form
    213,249.96/319,875.32 = 55,478.16/x
  3. Step 3: Cross multiply
    213,249.96x = 319,875.32 × 55,478.16
  4. Step 4: Simplify right side
    213,249.96x = 17,746,094,183.01
  5. Step 5: Solve for x
    x = 17,746,094,183.01/213,249.96
  6. Step 6: Final answer
    x = 83,217.34

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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.