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Finding the Fourth Proportional to 200,099.70, 299,663.55 and 106,398.90

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Solution

The fourth proportional to 200,099.70, 299,663.55 and 106,398.90 is: 159,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,099.70 : 299,663.55 = 106,398.90 : x
  2. Step 2: Convert to fraction form
    200,099.70/299,663.55 = 106,398.90/x
  3. Step 3: Cross multiply
    200,099.70x = 299,663.55 × 106,398.90
  4. Step 4: Simplify right side
    200,099.70x = 31,883,872,090.10
  5. Step 5: Solve for x
    x = 31,883,872,090.10/200,099.70
  6. Step 6: Final answer
    x = 159,339.93

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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.