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Finding the Fourth Proportional to 199,564.38, 299,386.00 and 73,205.79

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Solution

The fourth proportional to 199,564.38, 299,386.00 and 73,205.79 is: 109,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,564.38 : 299,386.00 = 73,205.79 : x
  2. Step 2: Convert to fraction form
    199,564.38/299,386.00 = 73,205.79/x
  3. Step 3: Cross multiply
    199,564.38x = 299,386.00 × 73,205.79
  4. Step 4: Simplify right side
    199,564.38x = 21,916,789,210.39
  5. Step 5: Solve for x
    x = 21,916,789,210.39/199,564.38
  6. Step 6: Final answer
    x = 109,823.15

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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.