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Finding the Fourth Proportional to 78,556.99, 117,853.95 and 25,966.48

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Solution

The fourth proportional to 78,556.99, 117,853.95 and 25,966.48 is: 38,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,556.99 : 117,853.95 = 25,966.48 : x
  2. Step 2: Convert to fraction form
    78,556.99/117,853.95 = 25,966.48/x
  3. Step 3: Cross multiply
    78,556.99x = 117,853.95 × 25,966.48
  4. Step 4: Simplify right side
    78,556.99x = 3,060,252,170.68
  5. Step 5: Solve for x
    x = 3,060,252,170.68/78,556.99
  6. Step 6: Final answer
    x = 38,955.82

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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.