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Finding the Fourth Proportional to 136,930.60, 205,395.90 and 77,881.60

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Solution

The fourth proportional to 136,930.60, 205,395.90 and 77,881.60 is: 116,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,930.60 : 205,395.90 = 77,881.60 : x
  2. Step 2: Convert to fraction form
    136,930.60/205,395.90 = 77,881.60/x
  3. Step 3: Cross multiply
    136,930.60x = 205,395.90 × 77,881.60
  4. Step 4: Simplify right side
    136,930.60x = 15,996,561,325.44
  5. Step 5: Solve for x
    x = 15,996,561,325.44/136,930.60
  6. Step 6: Final answer
    x = 116,822.40

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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.