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Finding the Fourth Proportional to 78,104.66, 117,132.77 and 28,178.28

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Solution

The fourth proportional to 78,104.66, 117,132.77 and 28,178.28 is: 42,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,104.66 : 117,132.77 = 28,178.28 : x
  2. Step 2: Convert to fraction form
    78,104.66/117,132.77 = 28,178.28/x
  3. Step 3: Cross multiply
    78,104.66x = 117,132.77 × 28,178.28
  4. Step 4: Simplify right side
    78,104.66x = 3,300,599,849.34
  5. Step 5: Solve for x
    x = 3,300,599,849.34/78,104.66
  6. Step 6: Final answer
    x = 42,258.68

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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.