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Finding the Fourth Proportional to 30,139, 45,217.98 and 13,513

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Solution

The fourth proportional to 30,139, 45,217.98 and 13,513 is: 20,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,139 : 45,217.98 = 13,513 : x
  2. Step 2: Convert to fraction form
    30,139/45,217.98 = 13,513/x
  3. Step 3: Cross multiply
    30,139x = 45,217.98 × 13,513
  4. Step 4: Simplify right side
    30,139x = 611,030,563.74
  5. Step 5: Solve for x
    x = 611,030,563.74/30,139
  6. Step 6: Final answer
    x = 20,273.75

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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.