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Finding the Fourth Proportional to 223,742.69, 335,603.09 and 83,490.38

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Solution

The fourth proportional to 223,742.69, 335,603.09 and 83,490.38 is: 125,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,742.69 : 335,603.09 = 83,490.38 : x
  2. Step 2: Convert to fraction form
    223,742.69/335,603.09 = 83,490.38/x
  3. Step 3: Cross multiply
    223,742.69x = 335,603.09 × 83,490.38
  4. Step 4: Simplify right side
    223,742.69x = 28,019,627,417.81
  5. Step 5: Solve for x
    x = 28,019,627,417.81/223,742.69
  6. Step 6: Final answer
    x = 125,231.48

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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.