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Finding the Fourth Proportional to 205,301.60, 307,952.40 and 134,442.80

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Solution

The fourth proportional to 205,301.60, 307,952.40 and 134,442.80 is: 201,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,301.60 : 307,952.40 = 134,442.80 : x
  2. Step 2: Convert to fraction form
    205,301.60/307,952.40 = 134,442.80/x
  3. Step 3: Cross multiply
    205,301.60x = 307,952.40 × 134,442.80
  4. Step 4: Simplify right side
    205,301.60x = 41,401,982,922.72
  5. Step 5: Solve for x
    x = 41,401,982,922.72/205,301.60
  6. Step 6: Final answer
    x = 201,664.20

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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.