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Finding the Fourth Proportional to 82,759.50, 124,139.57 and 20,430

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Solution

The fourth proportional to 82,759.50, 124,139.57 and 20,430 is: 30,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,759.50 : 124,139.57 = 20,430 : x
  2. Step 2: Convert to fraction form
    82,759.50/124,139.57 = 20,430/x
  3. Step 3: Cross multiply
    82,759.50x = 124,139.57 × 20,430
  4. Step 4: Simplify right side
    82,759.50x = 2,536,171,312.95
  5. Step 5: Solve for x
    x = 2,536,171,312.95/82,759.50
  6. Step 6: Final answer
    x = 30,645.08

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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.