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Finding the Fourth Proportional to 137,206.20, 205,938.90 and 84,718.20

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Solution

The fourth proportional to 137,206.20, 205,938.90 and 84,718.20 is: 127,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,206.20 : 205,938.90 = 84,718.20 : x
  2. Step 2: Convert to fraction form
    137,206.20/205,938.90 = 84,718.20/x
  3. Step 3: Cross multiply
    137,206.20x = 205,938.90 × 84,718.20
  4. Step 4: Simplify right side
    137,206.20x = 17,446,772,917.98
  5. Step 5: Solve for x
    x = 17,446,772,917.98/137,206.20
  6. Step 6: Final answer
    x = 127,157.32

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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.