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Finding the Fourth Proportional to 159,278.68, 219,713.16 and 99,559

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Solution

The fourth proportional to 159,278.68, 219,713.16 and 99,559 is: 137,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,278.68 : 219,713.16 = 99,559 : x
  2. Step 2: Convert to fraction form
    159,278.68/219,713.16 = 99,559/x
  3. Step 3: Cross multiply
    159,278.68x = 219,713.16 × 99,559
  4. Step 4: Simplify right side
    159,278.68x = 21,874,422,496.44
  5. Step 5: Solve for x
    x = 21,874,422,496.44/159,278.68
  6. Step 6: Final answer
    x = 137,334.28

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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.