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Finding the Fourth Proportional to 108,709.76, 149,950.40 and 78,539.36

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Solution

The fourth proportional to 108,709.76, 149,950.40 and 78,539.36 is: 108,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,709.76 : 149,950.40 = 78,539.36 : x
  2. Step 2: Convert to fraction form
    108,709.76/149,950.40 = 78,539.36/x
  3. Step 3: Cross multiply
    108,709.76x = 149,950.40 × 78,539.36
  4. Step 4: Simplify right side
    108,709.76x = 11,777,008,447.74
  5. Step 5: Solve for x
    x = 11,777,008,447.74/108,709.76
  6. Step 6: Final answer
    x = 108,334.42

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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.