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Finding the Fourth Proportional to 321,681.98, 482,524.80 and 85,022.16

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Solution

The fourth proportional to 321,681.98, 482,524.80 and 85,022.16 is: 127,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,681.98 : 482,524.80 = 85,022.16 : x
  2. Step 2: Convert to fraction form
    321,681.98/482,524.80 = 85,022.16/x
  3. Step 3: Cross multiply
    321,681.98x = 482,524.80 × 85,022.16
  4. Step 4: Simplify right side
    321,681.98x = 41,025,298,621.27
  5. Step 5: Solve for x
    x = 41,025,298,621.27/321,681.98
  6. Step 6: Final answer
    x = 127,533.72

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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.