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Finding the Fourth Proportional to 136,808.84, 205,234.86 and 52,565.64

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Solution

The fourth proportional to 136,808.84, 205,234.86 and 52,565.64 is: 78,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,808.84 : 205,234.86 = 52,565.64 : x
  2. Step 2: Convert to fraction form
    136,808.84/205,234.86 = 52,565.64/x
  3. Step 3: Cross multiply
    136,808.84x = 205,234.86 × 52,565.64
  4. Step 4: Simplify right side
    136,808.84x = 10,788,301,766.21
  5. Step 5: Solve for x
    x = 10,788,301,766.21/136,808.84
  6. Step 6: Final answer
    x = 78,856.76

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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.