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Finding the Fourth Proportional to 150,503.78, 207,699.18 and 85,087.40

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Solution

The fourth proportional to 150,503.78, 207,699.18 and 85,087.40 is: 117,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,503.78 : 207,699.18 = 85,087.40 : x
  2. Step 2: Convert to fraction form
    150,503.78/207,699.18 = 85,087.40/x
  3. Step 3: Cross multiply
    150,503.78x = 207,699.18 × 85,087.40
  4. Step 4: Simplify right side
    150,503.78x = 17,672,583,208.33
  5. Step 5: Solve for x
    x = 17,672,583,208.33/150,503.78
  6. Step 6: Final answer
    x = 117,422.85

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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.