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Finding the Fourth Proportional to 77,486.92, 116,230.38 and 30,739.79

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Solution

The fourth proportional to 77,486.92, 116,230.38 and 30,739.79 is: 46,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486.92 : 116,230.38 = 30,739.79 : x
  2. Step 2: Convert to fraction form
    77,486.92/116,230.38 = 30,739.79/x
  3. Step 3: Cross multiply
    77,486.92x = 116,230.38 × 30,739.79
  4. Step 4: Simplify right side
    77,486.92x = 3,572,897,319.12
  5. Step 5: Solve for x
    x = 3,572,897,319.12/77,486.92
  6. Step 6: Final answer
    x = 46,109.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.