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Finding the Fourth Proportional to 205,713.60, 309,088.80 and 130,869.60

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Solution

The fourth proportional to 205,713.60, 309,088.80 and 130,869.60 is: 196,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,713.60 : 309,088.80 = 130,869.60 : x
  2. Step 2: Convert to fraction form
    205,713.60/309,088.80 = 130,869.60/x
  3. Step 3: Cross multiply
    205,713.60x = 309,088.80 × 130,869.60
  4. Step 4: Simplify right side
    205,713.60x = 40,450,327,620.48
  5. Step 5: Solve for x
    x = 40,450,327,620.48/205,713.60
  6. Step 6: Final answer
    x = 196,634.19

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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.