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Finding the Fourth Proportional to 78,339.36, 108,109.44 and 42,529.44

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Solution

The fourth proportional to 78,339.36, 108,109.44 and 42,529.44 is: 58,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,339.36 : 108,109.44 = 42,529.44 : x
  2. Step 2: Convert to fraction form
    78,339.36/108,109.44 = 42,529.44/x
  3. Step 3: Cross multiply
    78,339.36x = 108,109.44 × 42,529.44
  4. Step 4: Simplify right side
    78,339.36x = 4,597,833,941.91
  5. Step 5: Solve for x
    x = 4,597,833,941.91/78,339.36
  6. Step 6: Final answer
    x = 58,691.24

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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.