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Finding the Fourth Proportional to 199,564, 299,187.04 and 115,228.53

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Solution

The fourth proportional to 199,564, 299,187.04 and 115,228.53 is: 172,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,564 : 299,187.04 = 115,228.53 : x
  2. Step 2: Convert to fraction form
    199,564/299,187.04 = 115,228.53/x
  3. Step 3: Cross multiply
    199,564x = 299,187.04 × 115,228.53
  4. Step 4: Simplify right side
    199,564x = 34,474,882,814.25
  5. Step 5: Solve for x
    x = 34,474,882,814.25/199,564
  6. Step 6: Final answer
    x = 172,751.01

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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.