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Finding the Fourth Proportional to 72,967.74, 109,405.44 and 30,826.14

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Solution

The fourth proportional to 72,967.74, 109,405.44 and 30,826.14 is: 46,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,967.74 : 109,405.44 = 30,826.14 : x
  2. Step 2: Convert to fraction form
    72,967.74/109,405.44 = 30,826.14/x
  3. Step 3: Cross multiply
    72,967.74x = 109,405.44 × 30,826.14
  4. Step 4: Simplify right side
    72,967.74x = 3,372,547,410.20
  5. Step 5: Solve for x
    x = 3,372,547,410.20/72,967.74
  6. Step 6: Final answer
    x = 46,219.70

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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.