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Finding the Fourth Proportional to 192,798.56, 289,247.70 and 112,904

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Solution

The fourth proportional to 192,798.56, 289,247.70 and 112,904 is: 169,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,798.56 : 289,247.70 = 112,904 : x
  2. Step 2: Convert to fraction form
    192,798.56/289,247.70 = 112,904/x
  3. Step 3: Cross multiply
    192,798.56x = 289,247.70 × 112,904
  4. Step 4: Simplify right side
    192,798.56x = 32,657,222,320.80
  5. Step 5: Solve for x
    x = 32,657,222,320.80/192,798.56
  6. Step 6: Final answer
    x = 169,385.20

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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.