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Finding the Fourth Proportional to 202,851.21, 279,913.12 and 112,192.77

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Solution

The fourth proportional to 202,851.21, 279,913.12 and 112,192.77 is: 154,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,851.21 : 279,913.12 = 112,192.77 : x
  2. Step 2: Convert to fraction form
    202,851.21/279,913.12 = 112,192.77/x
  3. Step 3: Cross multiply
    202,851.21x = 279,913.12 × 112,192.77
  4. Step 4: Simplify right side
    202,851.21x = 31,404,228,292.14
  5. Step 5: Solve for x
    x = 31,404,228,292.14/202,851.21
  6. Step 6: Final answer
    x = 154,814.10

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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.