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Finding the Fourth Proportional to 319,928.16, 479,842.92 and 106,699.80

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Solution

The fourth proportional to 319,928.16, 479,842.92 and 106,699.80 is: 160,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,928.16 : 479,842.92 = 106,699.80 : x
  2. Step 2: Convert to fraction form
    319,928.16/479,842.92 = 106,699.80/x
  3. Step 3: Cross multiply
    319,928.16x = 479,842.92 × 106,699.80
  4. Step 4: Simplify right side
    319,928.16x = 51,199,143,595.42
  5. Step 5: Solve for x
    x = 51,199,143,595.42/319,928.16
  6. Step 6: Final answer
    x = 160,033.25

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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.