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Finding the Fourth Proportional to 223,949.81, 309,050.74 and 123,347.81

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Solution

The fourth proportional to 223,949.81, 309,050.74 and 123,347.81 is: 170,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,949.81 : 309,050.74 = 123,347.81 : x
  2. Step 2: Convert to fraction form
    223,949.81/309,050.74 = 123,347.81/x
  3. Step 3: Cross multiply
    223,949.81x = 309,050.74 × 123,347.81
  4. Step 4: Simplify right side
    223,949.81x = 38,120,732,884.69
  5. Step 5: Solve for x
    x = 38,120,732,884.69/223,949.81
  6. Step 6: Final answer
    x = 170,219.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.