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Finding the Fourth Proportional to 206,977.20, 310,465.80 and 136,118.40

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Solution

The fourth proportional to 206,977.20, 310,465.80 and 136,118.40 is: 204,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,977.20 : 310,465.80 = 136,118.40 : x
  2. Step 2: Convert to fraction form
    206,977.20/310,465.80 = 136,118.40/x
  3. Step 3: Cross multiply
    206,977.20x = 310,465.80 × 136,118.40
  4. Step 4: Simplify right side
    206,977.20x = 42,260,107,950.72
  5. Step 5: Solve for x
    x = 42,260,107,950.72/206,977.20
  6. Step 6: Final answer
    x = 204,177.60

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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.