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Finding the Fourth Proportional to 219,906, 303,444.54 and 123,115.14

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Solution

The fourth proportional to 219,906, 303,444.54 and 123,115.14 is: 169,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,906 : 303,444.54 = 123,115.14 : x
  2. Step 2: Convert to fraction form
    219,906/303,444.54 = 123,115.14/x
  3. Step 3: Cross multiply
    219,906x = 303,444.54 × 123,115.14
  4. Step 4: Simplify right side
    219,906x = 37,358,617,024.34
  5. Step 5: Solve for x
    x = 37,358,617,024.34/219,906
  6. Step 6: Final answer
    x = 169,884.48

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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.