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Finding the Fourth Proportional to 48,780, 73,181.07 and 20,701.08

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Solution

The fourth proportional to 48,780, 73,181.07 and 20,701.08 is: 31,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,780 : 73,181.07 = 20,701.08 : x
  2. Step 2: Convert to fraction form
    48,780/73,181.07 = 20,701.08/x
  3. Step 3: Cross multiply
    48,780x = 73,181.07 × 20,701.08
  4. Step 4: Simplify right side
    48,780x = 1,514,927,184.56
  5. Step 5: Solve for x
    x = 1,514,927,184.56/48,780
  6. Step 6: Final answer
    x = 31,056.32

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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.