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Finding the Fourth Proportional to 101,438.12, 152,102.09 and 30,350.90

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Solution

The fourth proportional to 101,438.12, 152,102.09 and 30,350.90 is: 45,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,438.12 : 152,102.09 = 30,350.90 : x
  2. Step 2: Convert to fraction form
    101,438.12/152,102.09 = 30,350.90/x
  3. Step 3: Cross multiply
    101,438.12x = 152,102.09 × 30,350.90
  4. Step 4: Simplify right side
    101,438.12x = 4,616,434,638.75
  5. Step 5: Solve for x
    x = 4,616,434,638.75/101,438.12
  6. Step 6: Final answer
    x = 45,509.86

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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.