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Finding the Fourth Proportional to 108,703.76, 149,942.12 and 78,533.36

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Solution

The fourth proportional to 108,703.76, 149,942.12 and 78,533.36 is: 108,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,703.76 : 149,942.12 = 78,533.36 : x
  2. Step 2: Convert to fraction form
    108,703.76/149,942.12 = 78,533.36/x
  3. Step 3: Cross multiply
    108,703.76x = 149,942.12 × 78,533.36
  4. Step 4: Simplify right side
    108,703.76x = 11,775,458,489.12
  5. Step 5: Solve for x
    x = 11,775,458,489.12/108,703.76
  6. Step 6: Final answer
    x = 108,326.14

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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.