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Finding the Fourth Proportional to 201,345.02, 301,745.35 and 89,006.12

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Solution

The fourth proportional to 201,345.02, 301,745.35 and 89,006.12 is: 133,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,345.02 : 301,745.35 = 89,006.12 : x
  2. Step 2: Convert to fraction form
    201,345.02/301,745.35 = 89,006.12/x
  3. Step 3: Cross multiply
    201,345.02x = 301,745.35 × 89,006.12
  4. Step 4: Simplify right side
    201,345.02x = 26,857,182,831.54
  5. Step 5: Solve for x
    x = 26,857,182,831.54/201,345.02
  6. Step 6: Final answer
    x = 133,388.86

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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.