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Finding the Fourth Proportional to 118,975.48, 164,199.88 and 71,228.80

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Solution

The fourth proportional to 118,975.48, 164,199.88 and 71,228.80 is: 98,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,975.48 : 164,199.88 = 71,228.80 : x
  2. Step 2: Convert to fraction form
    118,975.48/164,199.88 = 71,228.80/x
  3. Step 3: Cross multiply
    118,975.48x = 164,199.88 × 71,228.80
  4. Step 4: Simplify right side
    118,975.48x = 11,695,760,412.54
  5. Step 5: Solve for x
    x = 11,695,760,412.54/118,975.48
  6. Step 6: Final answer
    x = 98,303.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.