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Finding the Fourth Proportional to 205,805.76, 309,225.24 and 130,958.40

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Solution

The fourth proportional to 205,805.76, 309,225.24 and 130,958.40 is: 196,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,805.76 : 309,225.24 = 130,958.40 : x
  2. Step 2: Convert to fraction form
    205,805.76/309,225.24 = 130,958.40/x
  3. Step 3: Cross multiply
    205,805.76x = 309,225.24 × 130,958.40
  4. Step 4: Simplify right side
    205,805.76x = 40,495,642,670.02
  5. Step 5: Solve for x
    x = 40,495,642,670.02/205,805.76
  6. Step 6: Final answer
    x = 196,766.32

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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.