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Finding the Fourth Proportional to 113,538.88, 156,836.64 and 102,940.48

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Solution

The fourth proportional to 113,538.88, 156,836.64 and 102,940.48 is: 142,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,538.88 : 156,836.64 = 102,940.48 : x
  2. Step 2: Convert to fraction form
    113,538.88/156,836.64 = 102,940.48/x
  3. Step 3: Cross multiply
    113,538.88x = 156,836.64 × 102,940.48
  4. Step 4: Simplify right side
    113,538.88x = 16,144,839,003.19
  5. Step 5: Solve for x
    x = 16,144,839,003.19/113,538.88
  6. Step 6: Final answer
    x = 142,196.57

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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.