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Finding the Fourth Proportional to 102,729.60, 154,324.80 and 98,812.80

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Solution

The fourth proportional to 102,729.60, 154,324.80 and 98,812.80 is: 148,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,729.60 : 154,324.80 = 98,812.80 : x
  2. Step 2: Convert to fraction form
    102,729.60/154,324.80 = 98,812.80/x
  3. Step 3: Cross multiply
    102,729.60x = 154,324.80 × 98,812.80
  4. Step 4: Simplify right side
    102,729.60x = 15,249,265,597.44
  5. Step 5: Solve for x
    x = 15,249,265,597.44/102,729.60
  6. Step 6: Final answer
    x = 148,440.82

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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.