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Finding the Fourth Proportional to 205,427.60, 308,141.40 and 137,776.40

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Solution

The fourth proportional to 205,427.60, 308,141.40 and 137,776.40 is: 206,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,427.60 : 308,141.40 = 137,776.40 : x
  2. Step 2: Convert to fraction form
    205,427.60/308,141.40 = 137,776.40/x
  3. Step 3: Cross multiply
    205,427.60x = 308,141.40 × 137,776.40
  4. Step 4: Simplify right side
    205,427.60x = 42,454,612,782.96
  5. Step 5: Solve for x
    x = 42,454,612,782.96/205,427.60
  6. Step 6: Final answer
    x = 206,664.60

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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.