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Finding the Fourth Proportional to 253,580.82, 349,942.12 and 138,866.97

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Solution

The fourth proportional to 253,580.82, 349,942.12 and 138,866.97 is: 191,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,580.82 : 349,942.12 = 138,866.97 : x
  2. Step 2: Convert to fraction form
    253,580.82/349,942.12 = 138,866.97/x
  3. Step 3: Cross multiply
    253,580.82x = 349,942.12 × 138,866.97
  4. Step 4: Simplify right side
    253,580.82x = 48,595,402,844.89
  5. Step 5: Solve for x
    x = 48,595,402,844.89/253,580.82
  6. Step 6: Final answer
    x = 191,636.75

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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.