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Finding the Fourth Proportional to 77,014, 106,279.64 and 41,686

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Solution

The fourth proportional to 77,014, 106,279.64 and 41,686 is: 57,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,014 : 106,279.64 = 41,686 : x
  2. Step 2: Convert to fraction form
    77,014/106,279.64 = 41,686/x
  3. Step 3: Cross multiply
    77,014x = 106,279.64 × 41,686
  4. Step 4: Simplify right side
    77,014x = 4,430,373,073.04
  5. Step 5: Solve for x
    x = 4,430,373,073.04/77,014
  6. Step 6: Final answer
    x = 57,526.85

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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.