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Finding the Fourth Proportional to 202,598.39, 279,602.62 and 111,972.05

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Solution

The fourth proportional to 202,598.39, 279,602.62 and 111,972.05 is: 154,530.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,598.39 : 279,602.62 = 111,972.05 : x
  2. Step 2: Convert to fraction form
    202,598.39/279,602.62 = 111,972.05/x
  3. Step 3: Cross multiply
    202,598.39x = 279,602.62 × 111,972.05
  4. Step 4: Simplify right side
    202,598.39x = 31,307,677,917.34
  5. Step 5: Solve for x
    x = 31,307,677,917.34/202,598.39
  6. Step 6: Final answer
    x = 154,530.73

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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.