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Finding the Fourth Proportional to 136,947.30, 205,420.95 and 136,947.30

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Solution

The fourth proportional to 136,947.30, 205,420.95 and 136,947.30 is: 205,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,947.30 : 205,420.95 = 136,947.30 : x
  2. Step 2: Convert to fraction form
    136,947.30/205,420.95 = 136,947.30/x
  3. Step 3: Cross multiply
    136,947.30x = 205,420.95 × 136,947.30
  4. Step 4: Simplify right side
    136,947.30x = 28,131,844,465.94
  5. Step 5: Solve for x
    x = 28,131,844,465.94/136,947.30
  6. Step 6: Final answer
    x = 205,420.95

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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.