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Finding the Fourth Proportional to 55,999.50, 77,279.31 and 30,849.54

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Solution

The fourth proportional to 55,999.50, 77,279.31 and 30,849.54 is: 42,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,999.50 : 77,279.31 = 30,849.54 : x
  2. Step 2: Convert to fraction form
    55,999.50/77,279.31 = 30,849.54/x
  3. Step 3: Cross multiply
    55,999.50x = 77,279.31 × 30,849.54
  4. Step 4: Simplify right side
    55,999.50x = 2,384,031,165.02
  5. Step 5: Solve for x
    x = 2,384,031,165.02/55,999.50
  6. Step 6: Final answer
    x = 42,572.37

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1.5x scale

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.