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Finding the Fourth Proportional to 78,086.68, 117,129.54 and 18,922.28

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Solution

The fourth proportional to 78,086.68, 117,129.54 and 18,922.28 is: 28,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,086.68 : 117,129.54 = 18,922.28 : x
  2. Step 2: Convert to fraction form
    78,086.68/117,129.54 = 18,922.28/x
  3. Step 3: Cross multiply
    78,086.68x = 117,129.54 × 18,922.28
  4. Step 4: Simplify right side
    78,086.68x = 2,216,357,952.15
  5. Step 5: Solve for x
    x = 2,216,357,952.15/78,086.68
  6. Step 6: Final answer
    x = 28,383.30

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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.