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Finding the Fourth Proportional to 118,487.94, 177,781.31 and 51,975.80

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Solution

The fourth proportional to 118,487.94, 177,781.31 and 51,975.80 is: 77,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,487.94 : 177,781.31 = 51,975.80 : x
  2. Step 2: Convert to fraction form
    118,487.94/177,781.31 = 51,975.80/x
  3. Step 3: Cross multiply
    118,487.94x = 177,781.31 × 51,975.80
  4. Step 4: Simplify right side
    118,487.94x = 9,240,325,812.30
  5. Step 5: Solve for x
    x = 9,240,325,812.30/118,487.94
  6. Step 6: Final answer
    x = 77,985.37

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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.