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Finding the Fourth Proportional to 102,644.30, 153,907.66 and 31,548.44

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Solution

The fourth proportional to 102,644.30, 153,907.66 and 31,548.44 is: 47,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,644.30 : 153,907.66 = 31,548.44 : x
  2. Step 2: Convert to fraction form
    102,644.30/153,907.66 = 31,548.44/x
  3. Step 3: Cross multiply
    102,644.30x = 153,907.66 × 31,548.44
  4. Step 4: Simplify right side
    102,644.30x = 4,855,546,577.05
  5. Step 5: Solve for x
    x = 4,855,546,577.05/102,644.30
  6. Step 6: Final answer
    x = 47,304.59

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1.5x scale

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.