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Finding the Fourth Proportional to 202,511.88, 279,468.36 and 111,870

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Solution

The fourth proportional to 202,511.88, 279,468.36 and 111,870 is: 154,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,511.88 : 279,468.36 = 111,870 : x
  2. Step 2: Convert to fraction form
    202,511.88/279,468.36 = 111,870/x
  3. Step 3: Cross multiply
    202,511.88x = 279,468.36 × 111,870
  4. Step 4: Simplify right side
    202,511.88x = 31,264,125,433.20
  5. Step 5: Solve for x
    x = 31,264,125,433.20/202,511.88
  6. Step 6: Final answer
    x = 154,381.69

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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.