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Finding the Fourth Proportional to 78,473.44, 108,294 and 42,663.44

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Solution

The fourth proportional to 78,473.44, 108,294 and 42,663.44 is: 58,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,473.44 : 108,294 = 42,663.44 : x
  2. Step 2: Convert to fraction form
    78,473.44/108,294 = 42,663.44/x
  3. Step 3: Cross multiply
    78,473.44x = 108,294 × 42,663.44
  4. Step 4: Simplify right side
    78,473.44x = 4,620,194,571.36
  5. Step 5: Solve for x
    x = 4,620,194,571.36/78,473.44
  6. Step 6: Final answer
    x = 58,875.90

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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.