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Finding the Fourth Proportional to 106,657, 159,960.88 and 31,770.36

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Solution

The fourth proportional to 106,657, 159,960.88 and 31,770.36 is: 47,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,657 : 159,960.88 = 31,770.36 : x
  2. Step 2: Convert to fraction form
    106,657/159,960.88 = 31,770.36/x
  3. Step 3: Cross multiply
    106,657x = 159,960.88 × 31,770.36
  4. Step 4: Simplify right side
    106,657x = 5,082,014,743.52
  5. Step 5: Solve for x
    x = 5,082,014,743.52/106,657
  6. Step 6: Final answer
    x = 47,648.21

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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.