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Finding the Fourth Proportional to 78,496.60, 117,736.15 and 21,574.87

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Solution

The fourth proportional to 78,496.60, 117,736.15 and 21,574.87 is: 32,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,496.60 : 117,736.15 = 21,574.87 : x
  2. Step 2: Convert to fraction form
    78,496.60/117,736.15 = 21,574.87/x
  3. Step 3: Cross multiply
    78,496.60x = 117,736.15 × 21,574.87
  4. Step 4: Simplify right side
    78,496.60x = 2,540,142,130.55
  5. Step 5: Solve for x
    x = 2,540,142,130.55/78,496.60
  6. Step 6: Final answer
    x = 32,359.90

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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.