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Finding the Fourth Proportional to 118,519.30, 177,774.21 and 65,316.75

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Solution

The fourth proportional to 118,519.30, 177,774.21 and 65,316.75 is: 97,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,519.30 : 177,774.21 = 65,316.75 : x
  2. Step 2: Convert to fraction form
    118,519.30/177,774.21 = 65,316.75/x
  3. Step 3: Cross multiply
    118,519.30x = 177,774.21 × 65,316.75
  4. Step 4: Simplify right side
    118,519.30x = 11,611,632,964.36
  5. Step 5: Solve for x
    x = 11,611,632,964.36/118,519.30
  6. Step 6: Final answer
    x = 97,972.51

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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.