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Finding the Fourth Proportional to 102,505.44, 153,815.57 and 43,385.36

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Solution

The fourth proportional to 102,505.44, 153,815.57 and 43,385.36 is: 65,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.44 : 153,815.57 = 43,385.36 : x
  2. Step 2: Convert to fraction form
    102,505.44/153,815.57 = 43,385.36/x
  3. Step 3: Cross multiply
    102,505.44x = 153,815.57 × 43,385.36
  4. Step 4: Simplify right side
    102,505.44x = 6,673,344,371.06
  5. Step 5: Solve for x
    x = 6,673,344,371.06/102,505.44
  6. Step 6: Final answer
    x = 65,102.34

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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.