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Finding the Fourth Proportional to 82,762.50, 124,144.08 and 20,433

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Solution

The fourth proportional to 82,762.50, 124,144.08 and 20,433 is: 30,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.50 : 124,144.08 = 20,433 : x
  2. Step 2: Convert to fraction form
    82,762.50/124,144.08 = 20,433/x
  3. Step 3: Cross multiply
    82,762.50x = 124,144.08 × 20,433
  4. Step 4: Simplify right side
    82,762.50x = 2,536,635,986.64
  5. Step 5: Solve for x
    x = 2,536,635,986.64/82,762.50
  6. Step 6: Final answer
    x = 30,649.58

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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.