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Finding the Fourth Proportional to 159,043.94, 219,476.20 and 87,414.16

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Solution

The fourth proportional to 159,043.94, 219,476.20 and 87,414.16 is: 120,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,043.94 : 219,476.20 = 87,414.16 : x
  2. Step 2: Convert to fraction form
    159,043.94/219,476.20 = 87,414.16/x
  3. Step 3: Cross multiply
    159,043.94x = 219,476.20 × 87,414.16
  4. Step 4: Simplify right side
    159,043.94x = 19,185,327,662.99
  5. Step 5: Solve for x
    x = 19,185,327,662.99/159,043.94
  6. Step 6: Final answer
    x = 120,629.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.