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Finding the Fourth Proportional to 82,675.50, 124,013.25 and 20,346

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Solution

The fourth proportional to 82,675.50, 124,013.25 and 20,346 is: 30,519

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,675.50 : 124,013.25 = 20,346 : x
  2. Step 2: Convert to fraction form
    82,675.50/124,013.25 = 20,346/x
  3. Step 3: Cross multiply
    82,675.50x = 124,013.25 × 20,346
  4. Step 4: Simplify right side
    82,675.50x = 2,523,173,584.50
  5. Step 5: Solve for x
    x = 2,523,173,584.50/82,675.50
  6. Step 6: Final answer
    x = 30,519

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Double scale
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1.5x scale

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.