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Finding the Fourth Proportional to 144,833.64, 199,878.64 and 81,175.54

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Solution

The fourth proportional to 144,833.64, 199,878.64 and 81,175.54 is: 112,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,833.64 : 199,878.64 = 81,175.54 : x
  2. Step 2: Convert to fraction form
    144,833.64/199,878.64 = 81,175.54/x
  3. Step 3: Cross multiply
    144,833.64x = 199,878.64 × 81,175.54
  4. Step 4: Simplify right side
    144,833.64x = 16,225,256,536.47
  5. Step 5: Solve for x
    x = 16,225,256,536.47/144,833.64
  6. Step 6: Final answer
    x = 112,026.85

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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.