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Finding the Fourth Proportional to 78,660.76, 117,970.44 and 53,696.20

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Solution

The fourth proportional to 78,660.76, 117,970.44 and 53,696.20 is: 80,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,660.76 : 117,970.44 = 53,696.20 : x
  2. Step 2: Convert to fraction form
    78,660.76/117,970.44 = 53,696.20/x
  3. Step 3: Cross multiply
    78,660.76x = 117,970.44 × 53,696.20
  4. Step 4: Simplify right side
    78,660.76x = 6,334,564,340.33
  5. Step 5: Solve for x
    x = 6,334,564,340.33/78,660.76
  6. Step 6: Final answer
    x = 80,530.17

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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.