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Finding the Fourth Proportional to 78,496.48, 117,671.10 and 28,564.12

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Solution

The fourth proportional to 78,496.48, 117,671.10 and 28,564.12 is: 42,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,496.48 : 117,671.10 = 28,564.12 : x
  2. Step 2: Convert to fraction form
    78,496.48/117,671.10 = 28,564.12/x
  3. Step 3: Cross multiply
    78,496.48x = 117,671.10 × 28,564.12
  4. Step 4: Simplify right side
    78,496.48x = 3,361,171,420.93
  5. Step 5: Solve for x
    x = 3,361,171,420.93/78,496.48
  6. Step 6: Final answer
    x = 42,819.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.