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Finding the Fourth Proportional to 172,928.40, 259,424.16 and 84,182.16

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Solution

The fourth proportional to 172,928.40, 259,424.16 and 84,182.16 is: 126,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,928.40 : 259,424.16 = 84,182.16 : x
  2. Step 2: Convert to fraction form
    172,928.40/259,424.16 = 84,182.16/x
  3. Step 3: Cross multiply
    172,928.40x = 259,424.16 × 84,182.16
  4. Step 4: Simplify right side
    172,928.40x = 21,838,886,144.99
  5. Step 5: Solve for x
    x = 21,838,886,144.99/172,928.40
  6. Step 6: Final answer
    x = 126,288.60

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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.