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Finding the Fourth Proportional to 188,248.80, 259,857.36 and 112,782.72

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Solution

The fourth proportional to 188,248.80, 259,857.36 and 112,782.72 is: 155,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,248.80 : 259,857.36 = 112,782.72 : x
  2. Step 2: Convert to fraction form
    188,248.80/259,857.36 = 112,782.72/x
  3. Step 3: Cross multiply
    188,248.80x = 259,857.36 × 112,782.72
  4. Step 4: Simplify right side
    188,248.80x = 29,307,419,872.82
  5. Step 5: Solve for x
    x = 29,307,419,872.82/188,248.80
  6. Step 6: Final answer
    x = 155,684.50

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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.