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Finding the Fourth Proportional to 145,636.51, 200,965.57 and 81,100.87

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Solution

The fourth proportional to 145,636.51, 200,965.57 and 81,100.87 is: 111,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,636.51 : 200,965.57 = 81,100.87 : x
  2. Step 2: Convert to fraction form
    145,636.51/200,965.57 = 81,100.87/x
  3. Step 3: Cross multiply
    145,636.51x = 200,965.57 × 81,100.87
  4. Step 4: Simplify right side
    145,636.51x = 16,298,482,567.05
  5. Step 5: Solve for x
    x = 16,298,482,567.05/145,636.51
  6. Step 6: Final answer
    x = 111,912.06

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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.