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Finding the Fourth Proportional to 100,705.80, 138,975.62 and 55,385.80

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Solution

The fourth proportional to 100,705.80, 138,975.62 and 55,385.80 is: 76,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705.80 : 138,975.62 = 55,385.80 : x
  2. Step 2: Convert to fraction form
    100,705.80/138,975.62 = 55,385.80/x
  3. Step 3: Cross multiply
    100,705.80x = 138,975.62 × 55,385.80
  4. Step 4: Simplify right side
    100,705.80x = 7,697,275,894.20
  5. Step 5: Solve for x
    x = 7,697,275,894.20/100,705.80
  6. Step 6: Final answer
    x = 76,433.29

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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.