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Finding the Fourth Proportional to 77,486.96, 116,213.16 and 30,727.28

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Solution

The fourth proportional to 77,486.96, 116,213.16 and 30,727.28 is: 46,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486.96 : 116,213.16 = 30,727.28 : x
  2. Step 2: Convert to fraction form
    77,486.96/116,213.16 = 30,727.28/x
  3. Step 3: Cross multiply
    77,486.96x = 116,213.16 × 30,727.28
  4. Step 4: Simplify right side
    77,486.96x = 3,570,914,307.00
  5. Step 5: Solve for x
    x = 3,570,914,307.00/77,486.96
  6. Step 6: Final answer
    x = 46,084.07

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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.