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Finding the Fourth Proportional to 154,491.20, 231,823.20 and 65,729.60

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Solution

The fourth proportional to 154,491.20, 231,823.20 and 65,729.60 is: 98,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,491.20 : 231,823.20 = 65,729.60 : x
  2. Step 2: Convert to fraction form
    154,491.20/231,823.20 = 65,729.60/x
  3. Step 3: Cross multiply
    154,491.20x = 231,823.20 × 65,729.60
  4. Step 4: Simplify right side
    154,491.20x = 15,237,646,206.72
  5. Step 5: Solve for x
    x = 15,237,646,206.72/154,491.20
  6. Step 6: Final answer
    x = 98,631.16

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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.