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Finding the Fourth Proportional to 145,303.20, 200,524.32 and 81,640.80

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Solution

The fourth proportional to 145,303.20, 200,524.32 and 81,640.80 is: 112,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,303.20 : 200,524.32 = 81,640.80 : x
  2. Step 2: Convert to fraction form
    145,303.20/200,524.32 = 81,640.80/x
  3. Step 3: Cross multiply
    145,303.20x = 200,524.32 × 81,640.80
  4. Step 4: Simplify right side
    145,303.20x = 16,370,965,904.26
  5. Step 5: Solve for x
    x = 16,370,965,904.26/145,303.20
  6. Step 6: Final answer
    x = 112,667.62

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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.