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Finding the Fourth Proportional to 149,005.50, 205,627.60 and 81,937.50

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Solution

The fourth proportional to 149,005.50, 205,627.60 and 81,937.50 is: 113,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,005.50 : 205,627.60 = 81,937.50 : x
  2. Step 2: Convert to fraction form
    149,005.50/205,627.60 = 81,937.50/x
  3. Step 3: Cross multiply
    149,005.50x = 205,627.60 × 81,937.50
  4. Step 4: Simplify right side
    149,005.50x = 16,848,611,475
  5. Step 5: Solve for x
    x = 16,848,611,475/149,005.50
  6. Step 6: Final answer
    x = 113,073.76

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1.5x scale

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.