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Finding the Fourth Proportional to 121,361.78, 182,123.64 and 42,476.01

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Solution

The fourth proportional to 121,361.78, 182,123.64 and 42,476.01 is: 63,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,361.78 : 182,123.64 = 42,476.01 : x
  2. Step 2: Convert to fraction form
    121,361.78/182,123.64 = 42,476.01/x
  3. Step 3: Cross multiply
    121,361.78x = 182,123.64 × 42,476.01
  4. Step 4: Simplify right side
    121,361.78x = 7,735,885,553.88
  5. Step 5: Solve for x
    x = 7,735,885,553.88/121,361.78
  6. Step 6: Final answer
    x = 63,742.36

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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.