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Finding the Fourth Proportional to 136,729.60, 205,094.40 and 74,521.60

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Solution

The fourth proportional to 136,729.60, 205,094.40 and 74,521.60 is: 111,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,729.60 : 205,094.40 = 74,521.60 : x
  2. Step 2: Convert to fraction form
    136,729.60/205,094.40 = 74,521.60/x
  3. Step 3: Cross multiply
    136,729.60x = 205,094.40 × 74,521.60
  4. Step 4: Simplify right side
    136,729.60x = 15,283,962,839.04
  5. Step 5: Solve for x
    x = 15,283,962,839.04/136,729.60
  6. Step 6: Final answer
    x = 111,782.40

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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.