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Finding the Fourth Proportional to 109,201.37, 163,737.47 and 42,563.71

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Solution

The fourth proportional to 109,201.37, 163,737.47 and 42,563.71 is: 63,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,201.37 : 163,737.47 = 42,563.71 : x
  2. Step 2: Convert to fraction form
    109,201.37/163,737.47 = 42,563.71/x
  3. Step 3: Cross multiply
    109,201.37x = 163,737.47 × 42,563.71
  4. Step 4: Simplify right side
    109,201.37x = 6,969,274,260.87
  5. Step 5: Solve for x
    x = 6,969,274,260.87/109,201.37
  6. Step 6: Final answer
    x = 63,820.40

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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.