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Finding the Fourth Proportional to 103,302, 142,556.76 and 56,198

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Solution

The fourth proportional to 103,302, 142,556.76 and 56,198 is: 77,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,302 : 142,556.76 = 56,198 : x
  2. Step 2: Convert to fraction form
    103,302/142,556.76 = 56,198/x
  3. Step 3: Cross multiply
    103,302x = 142,556.76 × 56,198
  4. Step 4: Simplify right side
    103,302x = 8,011,404,798.48
  5. Step 5: Solve for x
    x = 8,011,404,798.48/103,302
  6. Step 6: Final answer
    x = 77,553.24

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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.