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Finding the Fourth Proportional to 101,438.10, 152,171.55 and 31,310.10

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Solution

The fourth proportional to 101,438.10, 152,171.55 and 31,310.10 is: 46,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,438.10 : 152,171.55 = 31,310.10 : x
  2. Step 2: Convert to fraction form
    101,438.10/152,171.55 = 31,310.10/x
  3. Step 3: Cross multiply
    101,438.10x = 152,171.55 × 31,310.10
  4. Step 4: Simplify right side
    101,438.10x = 4,764,506,447.66
  5. Step 5: Solve for x
    x = 4,764,506,447.66/101,438.10
  6. Step 6: Final answer
    x = 46,969.59

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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.