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Finding the Fourth Proportional to 50,666.50, 75,999.76 and 13,730.50

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Solution

The fourth proportional to 50,666.50, 75,999.76 and 13,730.50 is: 20,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,666.50 : 75,999.76 = 13,730.50 : x
  2. Step 2: Convert to fraction form
    50,666.50/75,999.76 = 13,730.50/x
  3. Step 3: Cross multiply
    50,666.50x = 75,999.76 × 13,730.50
  4. Step 4: Simplify right side
    50,666.50x = 1,043,514,704.68
  5. Step 5: Solve for x
    x = 1,043,514,704.68/50,666.50
  6. Step 6: Final answer
    x = 20,595.75

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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.