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Finding the Fourth Proportional to 145,536.68, 200,840.28 and 81,874.46

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Solution

The fourth proportional to 145,536.68, 200,840.28 and 81,874.46 is: 112,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,536.68 : 200,840.28 = 81,874.46 : x
  2. Step 2: Convert to fraction form
    145,536.68/200,840.28 = 81,874.46/x
  3. Step 3: Cross multiply
    145,536.68x = 200,840.28 × 81,874.46
  4. Step 4: Simplify right side
    145,536.68x = 16,443,689,471.25
  5. Step 5: Solve for x
    x = 16,443,689,471.25/145,536.68
  6. Step 6: Final answer
    x = 112,986.56

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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.