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Finding the Fourth Proportional to 145,536.68, 200,767.13 and 85,067.82

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Solution

The fourth proportional to 145,536.68, 200,767.13 and 85,067.82 is: 117,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,536.68 : 200,767.13 = 85,067.82 : x
  2. Step 2: Convert to fraction form
    145,536.68/200,767.13 = 85,067.82/x
  3. Step 3: Cross multiply
    145,536.68x = 200,767.13 × 85,067.82
  4. Step 4: Simplify right side
    145,536.68x = 17,078,822,076.76
  5. Step 5: Solve for x
    x = 17,078,822,076.76/145,536.68
  6. Step 6: Final answer
    x = 117,350.64

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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.