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Finding the Fourth Proportional to 145,571.08, 200,841.72 and 81,896.57

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Solution

The fourth proportional to 145,571.08, 200,841.72 and 81,896.57 is: 112,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,571.08 : 200,841.72 = 81,896.57 : x
  2. Step 2: Convert to fraction form
    145,571.08/200,841.72 = 81,896.57/x
  3. Step 3: Cross multiply
    145,571.08x = 200,841.72 × 81,896.57
  4. Step 4: Simplify right side
    145,571.08x = 16,448,248,483.00
  5. Step 5: Solve for x
    x = 16,448,248,483.00/145,571.08
  6. Step 6: Final answer
    x = 112,991.18

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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.