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Finding the Fourth Proportional to 118,641.12, 177,764.64 and 83,506.88

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Solution

The fourth proportional to 118,641.12, 177,764.64 and 83,506.88 is: 125,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,641.12 : 177,764.64 = 83,506.88 : x
  2. Step 2: Convert to fraction form
    118,641.12/177,764.64 = 83,506.88/x
  3. Step 3: Cross multiply
    118,641.12x = 177,764.64 × 83,506.88
  4. Step 4: Simplify right side
    118,641.12x = 14,844,570,460.72
  5. Step 5: Solve for x
    x = 14,844,570,460.72/118,641.12
  6. Step 6: Final answer
    x = 125,121.63

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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.