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Finding the Fourth Proportional to 136,941.20, 205,411.80 and 84,179.60

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Solution

The fourth proportional to 136,941.20, 205,411.80 and 84,179.60 is: 126,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,941.20 : 205,411.80 = 84,179.60 : x
  2. Step 2: Convert to fraction form
    136,941.20/205,411.80 = 84,179.60/x
  3. Step 3: Cross multiply
    136,941.20x = 205,411.80 × 84,179.60
  4. Step 4: Simplify right side
    136,941.20x = 17,291,483,159.28
  5. Step 5: Solve for x
    x = 17,291,483,159.28/136,941.20
  6. Step 6: Final answer
    x = 126,269.40

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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.