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Finding the Fourth Proportional to 145,005.96, 200,107.35 and 84,571.86

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Solution

The fourth proportional to 145,005.96, 200,107.35 and 84,571.86 is: 116,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,005.96 : 200,107.35 = 84,571.86 : x
  2. Step 2: Convert to fraction form
    145,005.96/200,107.35 = 84,571.86/x
  3. Step 3: Cross multiply
    145,005.96x = 200,107.35 × 84,571.86
  4. Step 4: Simplify right side
    145,005.96x = 16,923,450,789.17
  5. Step 5: Solve for x
    x = 16,923,450,789.17/145,005.96
  6. Step 6: Final answer
    x = 116,708.66

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1.5x scale

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.