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Finding the Fourth Proportional to 133,070.85, 199,606.28 and 85,831.65

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Solution

The fourth proportional to 133,070.85, 199,606.28 and 85,831.65 is: 128,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070.85 : 199,606.28 = 85,831.65 : x
  2. Step 2: Convert to fraction form
    133,070.85/199,606.28 = 85,831.65/x
  3. Step 3: Cross multiply
    133,070.85x = 199,606.28 × 85,831.65
  4. Step 4: Simplify right side
    133,070.85x = 17,132,535,933.60
  5. Step 5: Solve for x
    x = 17,132,535,933.60/133,070.85
  6. Step 6: Final answer
    x = 128,747.48

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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.