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Finding the Fourth Proportional to 159,041.28, 219,474.51 and 87,419.77

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Solution

The fourth proportional to 159,041.28, 219,474.51 and 87,419.77 is: 120,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,041.28 : 219,474.51 = 87,419.77 : x
  2. Step 2: Convert to fraction form
    159,041.28/219,474.51 = 87,419.77/x
  3. Step 3: Cross multiply
    159,041.28x = 219,474.51 × 87,419.77
  4. Step 4: Simplify right side
    159,041.28x = 19,186,410,087.69
  5. Step 5: Solve for x
    x = 19,186,410,087.69/159,041.28
  6. Step 6: Final answer
    x = 120,637.92

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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.