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Finding the Fourth Proportional to 147,897.88, 204,099.07 and 80,829.88

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Solution

The fourth proportional to 147,897.88, 204,099.07 and 80,829.88 is: 111,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,897.88 : 204,099.07 = 80,829.88 : x
  2. Step 2: Convert to fraction form
    147,897.88/204,099.07 = 80,829.88/x
  3. Step 3: Cross multiply
    147,897.88x = 204,099.07 × 80,829.88
  4. Step 4: Simplify right side
    147,897.88x = 16,497,303,336.21
  5. Step 5: Solve for x
    x = 16,497,303,336.21/147,897.88
  6. Step 6: Final answer
    x = 111,545.23

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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.