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Finding the Fourth Proportional to 205,881.60, 309,340.80 and 131,037.60

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Solution

The fourth proportional to 205,881.60, 309,340.80 and 131,037.60 is: 196,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,881.60 : 309,340.80 = 131,037.60 : x
  2. Step 2: Convert to fraction form
    205,881.60/309,340.80 = 131,037.60/x
  3. Step 3: Cross multiply
    205,881.60x = 309,340.80 × 131,037.60
  4. Step 4: Simplify right side
    205,881.60x = 40,535,276,014.08
  5. Step 5: Solve for x
    x = 40,535,276,014.08/205,881.60
  6. Step 6: Final answer
    x = 196,886.35

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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.