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Finding the Fourth Proportional to 102,452.64, 153,694.88 and 43,288.60

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Solution

The fourth proportional to 102,452.64, 153,694.88 and 43,288.60 is: 64,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,452.64 : 153,694.88 = 43,288.60 : x
  2. Step 2: Convert to fraction form
    102,452.64/153,694.88 = 43,288.60/x
  3. Step 3: Cross multiply
    102,452.64x = 153,694.88 × 43,288.60
  4. Step 4: Simplify right side
    102,452.64x = 6,653,236,182.37
  5. Step 5: Solve for x
    x = 6,653,236,182.37/102,452.64
  6. Step 6: Final answer
    x = 64,939.63

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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.