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Finding the Fourth Proportional to 189,454.44, 261,480.78 and 112,978.20

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Solution

The fourth proportional to 189,454.44, 261,480.78 and 112,978.20 is: 155,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,454.44 : 261,480.78 = 112,978.20 : x
  2. Step 2: Convert to fraction form
    189,454.44/261,480.78 = 112,978.20/x
  3. Step 3: Cross multiply
    189,454.44x = 261,480.78 × 112,978.20
  4. Step 4: Simplify right side
    189,454.44x = 29,541,627,859.00
  5. Step 5: Solve for x
    x = 29,541,627,859.00/189,454.44
  6. Step 6: Final answer
    x = 155,929.98

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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.