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Finding the Fourth Proportional to 136,957.20, 205,435.80 and 136,957.20

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Solution

The fourth proportional to 136,957.20, 205,435.80 and 136,957.20 is: 205,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,957.20 : 205,435.80 = 136,957.20 : x
  2. Step 2: Convert to fraction form
    136,957.20/205,435.80 = 136,957.20/x
  3. Step 3: Cross multiply
    136,957.20x = 205,435.80 × 136,957.20
  4. Step 4: Simplify right side
    136,957.20x = 28,135,911,947.76
  5. Step 5: Solve for x
    x = 28,135,911,947.76/136,957.20
  6. Step 6: Final answer
    x = 205,435.80

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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.