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Finding the Fourth Proportional to 101,505.62, 152,279.44 and 30,425.38

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Solution

The fourth proportional to 101,505.62, 152,279.44 and 30,425.38 is: 45,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,505.62 : 152,279.44 = 30,425.38 : x
  2. Step 2: Convert to fraction form
    101,505.62/152,279.44 = 30,425.38/x
  3. Step 3: Cross multiply
    101,505.62x = 152,279.44 × 30,425.38
  4. Step 4: Simplify right side
    101,505.62x = 4,633,159,828.19
  5. Step 5: Solve for x
    x = 4,633,159,828.19/101,505.62
  6. Step 6: Final answer
    x = 45,644.37

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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.