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Finding the Fourth Proportional to 108,503.64, 149,663.52 and 78,238.80

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Solution

The fourth proportional to 108,503.64, 149,663.52 and 78,238.80 is: 107,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,503.64 : 149,663.52 = 78,238.80 : x
  2. Step 2: Convert to fraction form
    108,503.64/149,663.52 = 78,238.80/x
  3. Step 3: Cross multiply
    108,503.64x = 149,663.52 × 78,238.80
  4. Step 4: Simplify right side
    108,503.64x = 11,709,494,208.58
  5. Step 5: Solve for x
    x = 11,709,494,208.58/108,503.64
  6. Step 6: Final answer
    x = 107,917.99

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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.