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Finding the Fourth Proportional to 150,503.85, 207,704.65 and 83,435.85

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Solution

The fourth proportional to 150,503.85, 207,704.65 and 83,435.85 is: 115,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,503.85 : 207,704.65 = 83,435.85 : x
  2. Step 2: Convert to fraction form
    150,503.85/207,704.65 = 83,435.85/x
  3. Step 3: Cross multiply
    150,503.85x = 207,704.65 × 83,435.85
  4. Step 4: Simplify right side
    150,503.85x = 17,330,014,748.45
  5. Step 5: Solve for x
    x = 17,330,014,748.45/150,503.85
  6. Step 6: Final answer
    x = 115,146.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.