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Finding the Fourth Proportional to 128,796.16, 193,156.80 and 49,892.80

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Solution

The fourth proportional to 128,796.16, 193,156.80 and 49,892.80 is: 74,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,796.16 : 193,156.80 = 49,892.80 : x
  2. Step 2: Convert to fraction form
    128,796.16/193,156.80 = 49,892.80/x
  3. Step 3: Cross multiply
    128,796.16x = 193,156.80 × 49,892.80
  4. Step 4: Simplify right side
    128,796.16x = 9,637,133,591.04
  5. Step 5: Solve for x
    x = 9,637,133,591.04/128,796.16
  6. Step 6: Final answer
    x = 74,824.70

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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.