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Finding the Fourth Proportional to 77,744.64, 116,588.40 and 27,811.20

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Solution

The fourth proportional to 77,744.64, 116,588.40 and 27,811.20 is: 41,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,744.64 : 116,588.40 = 27,811.20 : x
  2. Step 2: Convert to fraction form
    77,744.64/116,588.40 = 27,811.20/x
  3. Step 3: Cross multiply
    77,744.64x = 116,588.40 × 27,811.20
  4. Step 4: Simplify right side
    77,744.64x = 3,242,463,310.08
  5. Step 5: Solve for x
    x = 3,242,463,310.08/77,744.64
  6. Step 6: Final answer
    x = 41,706.58

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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.