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Finding the Fourth Proportional to 73,089, 100,856.25 and 40,819.13

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Solution

The fourth proportional to 73,089, 100,856.25 and 40,819.13 is: 56,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,089 : 100,856.25 = 40,819.13 : x
  2. Step 2: Convert to fraction form
    73,089/100,856.25 = 40,819.13/x
  3. Step 3: Cross multiply
    73,089x = 100,856.25 × 40,819.13
  4. Step 4: Simplify right side
    73,089x = 4,116,864,380.06
  5. Step 5: Solve for x
    x = 4,116,864,380.06/73,089
  6. Step 6: Final answer
    x = 56,326.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.