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Finding the Fourth Proportional to 77,709.40, 116,564.10 and 60,796.60

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Solution

The fourth proportional to 77,709.40, 116,564.10 and 60,796.60 is: 91,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709.40 : 116,564.10 = 60,796.60 : x
  2. Step 2: Convert to fraction form
    77,709.40/116,564.10 = 60,796.60/x
  3. Step 3: Cross multiply
    77,709.40x = 116,564.10 × 60,796.60
  4. Step 4: Simplify right side
    77,709.40x = 7,086,700,962.06
  5. Step 5: Solve for x
    x = 7,086,700,962.06/77,709.40
  6. Step 6: Final answer
    x = 91,194.90

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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.