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Finding the Fourth Proportional to 175,397.80, 262,923.90 and 86,578.60

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Solution

The fourth proportional to 175,397.80, 262,923.90 and 86,578.60 is: 129,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,397.80 : 262,923.90 = 86,578.60 : x
  2. Step 2: Convert to fraction form
    175,397.80/262,923.90 = 86,578.60/x
  3. Step 3: Cross multiply
    175,397.80x = 262,923.90 × 86,578.60
  4. Step 4: Simplify right side
    175,397.80x = 22,763,583,168.54
  5. Step 5: Solve for x
    x = 22,763,583,168.54/175,397.80
  6. Step 6: Final answer
    x = 129,782.60

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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.