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Finding the Fourth Proportional to 149,041.86, 205,706.97 and 85,422.30

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Solution

The fourth proportional to 149,041.86, 205,706.97 and 85,422.30 is: 117,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,041.86 : 205,706.97 = 85,422.30 : x
  2. Step 2: Convert to fraction form
    149,041.86/205,706.97 = 85,422.30/x
  3. Step 3: Cross multiply
    149,041.86x = 205,706.97 × 85,422.30
  4. Step 4: Simplify right side
    149,041.86x = 17,571,962,503.43
  5. Step 5: Solve for x
    x = 17,571,962,503.43/149,041.86
  6. Step 6: Final answer
    x = 117,899.51

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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.