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Finding the Fourth Proportional to 128,059.50, 191,989.76 and 82,985.64

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Solution

The fourth proportional to 128,059.50, 191,989.76 and 82,985.64 is: 124,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,059.50 : 191,989.76 = 82,985.64 : x
  2. Step 2: Convert to fraction form
    128,059.50/191,989.76 = 82,985.64/x
  3. Step 3: Cross multiply
    128,059.50x = 191,989.76 × 82,985.64
  4. Step 4: Simplify right side
    128,059.50x = 15,932,393,107.05
  5. Step 5: Solve for x
    x = 15,932,393,107.05/128,059.50
  6. Step 6: Final answer
    x = 124,413.99

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1.5x scale

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.