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Finding the Fourth Proportional to 86,448, 129,672 and 20,784

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Solution

The fourth proportional to 86,448, 129,672 and 20,784 is: 31,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,448 : 129,672 = 20,784 : x
  2. Step 2: Convert to fraction form
    86,448/129,672 = 20,784/x
  3. Step 3: Cross multiply
    86,448x = 129,672 × 20,784
  4. Step 4: Simplify right side
    86,448x = 2,695,102,848
  5. Step 5: Solve for x
    x = 2,695,102,848/86,448
  6. Step 6: Final answer
    x = 31,176

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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.