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Finding the Fourth Proportional to 128,361.51, 192,381.89 and 61,783.97

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Solution

The fourth proportional to 128,361.51, 192,381.89 and 61,783.97 is: 92,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,361.51 : 192,381.89 = 61,783.97 : x
  2. Step 2: Convert to fraction form
    128,361.51/192,381.89 = 61,783.97/x
  3. Step 3: Cross multiply
    128,361.51x = 192,381.89 × 61,783.97
  4. Step 4: Simplify right side
    128,361.51x = 11,886,115,649.47
  5. Step 5: Solve for x
    x = 11,886,115,649.47/128,361.51
  6. Step 6: Final answer
    x = 92,598.75

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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.