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Finding the Fourth Proportional to 78,549.76, 117,786.03 and 27,931.78

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Solution

The fourth proportional to 78,549.76, 117,786.03 and 27,931.78 is: 41,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,549.76 : 117,786.03 = 27,931.78 : x
  2. Step 2: Convert to fraction form
    78,549.76/117,786.03 = 27,931.78/x
  3. Step 3: Cross multiply
    78,549.76x = 117,786.03 × 27,931.78
  4. Step 4: Simplify right side
    78,549.76x = 3,289,973,477.03
  5. Step 5: Solve for x
    x = 3,289,973,477.03/78,549.76
  6. Step 6: Final answer
    x = 41,883.94

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1.5x scale

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.